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198 lines
7.3 KiB
HTML
198 lines
7.3 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/rectangle.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:31:41 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Rectangle</title>
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<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.">
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<link rel="preload" href="../main4.js" as="script">
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gtag('js', new Date());
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gtag('config', 'UA-29771508-1');
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Rectangle</h1>
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<p class="center"><i>(Jump to <a href="#Area">Area of a Rectangle</a> or <a href="#Perimeter">Perimeter of a Rectangle</a>)</i></p>
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<p class="center">A rectangle is a four-sided flat shape where every angle is a <a href="../rightangle.html">right angle</a> (90°).</p>
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<p class="center"><img src="images/rectangle-angles.svg" alt="Rectangle" height="113" width="158"><i><br>
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the little squares in each corner mean "right angle"</i></p>
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<table cellpadding="5" border="0">
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<tbody>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
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<td>Each internal angle is 90°</td>
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</tr>
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<tr>
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<td><img src="../images/style/right-arrow.gif" alt="right arrow" height="46" width="46"></td>
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<td>
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<p>Opposite sides are <a href="parallel-lines.html">parallel</a> and of equal length (so it is a <a href="parallelogram.html">Parallelogram</a>).</p></td>
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</tr>
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</tbody></table>
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<p>Play with a rectangle:</p>
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<div class="script" style="height: 330px;">
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images/geom-quad.js?mode=rectangle
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</div>
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<h2><a name="Area"></a>Area
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of a Rectangle</h2>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/rectangle-area.svg" alt="rectangle area" height="96" width="149"></td>
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<td> </td>
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<td>
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<p class="center larger">Area = a × b</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A rectangle is 6 m wide and 3 m high, what is its Area?</h3>
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<div class="tbl">
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<div class="row"><span class="lt">Area</span><span class="rtlt">= 6 m × 3 m</span></div>
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<div class="row"><span class="lt"> </span><span class="rtlt">= <b>18 m<sup>2</sup></b></span></div>
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</div>
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</div>
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<h2><a name="Perimeter"></a>Perimeter of a Rectangle</h2>
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<p>The Perimeter is the distance around the edges.</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/rectangle-perim.svg" alt="rectangle perimeter" height="95" width="150"></td>
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<td> </td>
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<td>
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<p>The Perimeter is <b>2 times (a + b)</b>:</p>
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<p class="center larger">Perimeter = 2(a+b)</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A <span class="center">rectangle</span> is 12 cm long and 5 cm tall, what is its Perimeter?</h3>
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<div class="tbl">
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<div class="row"><span class="lt">Perimeter </span><span class="rtlt">= 2 × (12 cm + 5 cm)</span></div>
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<div class="row"><span class="lt"> </span><span class="rtlt">= 2 × 17 cm</span></div>
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<div class="row"><span class="lt"> </span><span class="rtlt">= <b>34 cm</b></span></div>
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</div>
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</div>
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<h2>Diagonals of a Rectangle</h2>
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<table style="border: 0;">
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<tbody>
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<tr>
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<td><img src="images/rectangle-diags.svg" alt="rectangle diagonals" height="56" width="114"></td>
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<td> </td>
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<td>
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<p>A <span class="center">rectangle</span> has two diagonals, they are equal in length and intersect in the middle.</p></td>
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</tr>
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</tbody></table>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td><img src="images/rectangle-diag.svg" alt="rectangle diagonal calculation" height="94" width="153"></td>
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<td> </td>
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<td>
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<p>A diagonal's length is the <b> square root of (a squared + b squared)</b>:</p>
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<p class="center larger">Diagonal "d" = √(a<sup>2</sup> + b<sup>2</sup>)</p></td>
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</tr>
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</tbody></table>
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<div class="example">
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<h3>Example: A rectangle is 12 cm wide, and 5 cm tall, what is the length of a diagonal?</h3>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/rectangle-diag-ex.svg" alt="rectangle diagonal example" height="99" width="149"></p>
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<div class="tbl">
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<div class="row"><span class="lt">d</span><span class="rtlt">= √(12<sup>2</sup> + 5<sup>2</sup>)</span></div>
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<div class="row"><span class="lt"></span><span class="rtlt">= √(144 + 25)</span></div>
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<div class="row"><span class="lt"></span><span class="rtlt">= √169</span></div>
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<div class="row"><span class="lt"></span><span class="rtlt">= <b>13 cm</b></span></div>
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</div>
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</div>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="../numbers/images/golden-rectangle.svg" alt="Golden rectangle" height="155" width="188"></p>
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<h2>Golden Rectangle</h2>
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<p>There is also a special rectangle called the <a href="../numbers/golden-ratio.html">Golden <span class="center">Rectangle</span></a>:</p>
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<div style="clear:both"></div>
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<div class="questions">9091, 9092, 9093, 9094, 9095, 9096, 9097, 9098, 9099, 9100</div>
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<div class="related">
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<a href="rectangle-calc.html">Rectangle Calculator</a>
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<a href="../quadrilaterals.html">Quadrilaterals</a>
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<a href="index.html">Geometry Index</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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