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161 lines
7.9 KiB
HTML
161 lines
7.9 KiB
HTML
<!doctype html>
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<!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/activity/garden-area.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:37:31 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>Activity: Garden Area</title>
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<script>reSpell=[["meter","metre"],["centimeter","centimetre"]];</script>
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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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<!-- #BeginEditable "Body" -->
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<h1 class="center">Activity: Garden Area</h1>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/garden.jpg" width="220" height="133" alt="garden" /></p>
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<p class="center larger"><i>Have you ever wondered what the area of your garden is?</i></p>
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<p class="center larger">Let us try and find out!</p>
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<div style="clear:both"></div>
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<div class="center80">
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<p class="center larger">You will need a garden, a tape measure, pen and paper ... and your brains.</p>
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</div>
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<h2>I don't have a garden, so what can I do?</h2>
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<p>If you don't have a garden, maybe a friend has one, or your relatives have one, so use theirs.</p>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="../measure/images/tape-measure.jpg" width="95" height="133" alt="tape measure" /></p>
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<h2>How accurate should my measurements be?</h2>
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<p>Try to measure to the nearest centimeter (or half-inch), so the error will be as small as possible.</p>
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<p>You should get a good estimate, as long as you are careful with your measuring.</p>
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<h2>Is there a simple way to find the area of my garden?</h2>
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<p>If your garden is a rectangle, then you have a simple calculation. You just have to measure its width and length and multiply them together:</p>
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<table border="0" align="center">
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<tr>
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<td><img src="images/area-rectangle.gif" width="101" height="68" alt="area rectangle" /></td>
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<td> </td>
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<td><p class="larger">Rectangle:
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Area = W × L</p>
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<ul>
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<li>W = width</li>
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<li>L = length</li>
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</ul></td>
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</tr>
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</table>
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<p class="center"><b>But that makes this activity just too easy ... <br>
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... so go find another garden with a more interesting shape!</b></p>
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<h2>My garden is a difficult shape, so how can I find its area?</h2>
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<p>Good! This activity just got <i><b>interesting</b></i> ...</p>
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<p>It may be one of the shapes on the page <a href="../area.html">Area of Plane Shapes</a>, then you just have to decide which shape, make the measurements, and use the formula.</p>
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<div class="center80">
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<p class="center">But you could also break up your difficult shape into <a href="../triangle.html">triangles</a>:<br>
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<img src="../geometry/images/area-3-triangles.gif" width="176" height="126" alt="area 3 triangles" /><br>
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<br>
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Then measure the base (<b>b</b>) and height (<b>h</b>) of each triangle: <br>
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<img src="../geometry/images/area-3-triangles-b.gif" width="306" height="148" alt="area 3 triangles separated" /></p>
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<p class="center">Write down each measurement carefully so you know which triangle it belongs to.</p>
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<p class="center">Now go inside and calculate each area
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(using <span class="larger">Area = ½b × h</span>) and add them all up.</p>
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</div>
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<h2>But my garden is different ...</h2>
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<p class="larger">... in fact it's not any shape at all ... it has some straight edges and some curved parts. What should I do?</p>
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<p>Maybe it looks something like this:</p>
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<p class="center"><img src="images/garden-area.gif" width="215" height="180" alt="garden area" /><br></p>
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<p>You could try covering your garden with a grid of squares – these could be 1 meter squares or 1 foot squares, something like this:</p>
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<p class="center"><img src="images/garden-area-grid.gif" width="350" height="207" alt="garden area grid" /><br></p>
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<h3>How do I make a grid?</h3>
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<p>Try using pegs in the ground and join them up with string. Make sure they are the right distance apart and all angles are right angles.</p>
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<h3>How does this help? The grid and the outline of the garden don't match. There are lots of corners and curved parts.</h3>
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<p>Count the squares!</p>
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<p>There are special methods talked about on the <a href="../geometry/area.html">Area</a> page. The simplest method is:</p>
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<ul>
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<li>more than half a square counts as 1</li>
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<li>less than half a square counts as 0</li>
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</ul>
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<p class="center"><br>
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<img src="images/garden-area-grid-count.gif" width="358" height="206" alt="garden area grid count" /><br>
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An estimate for this area is <b>41 m<sup>2</sup></b>. <br>
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(This is just an example.
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Your garden is different of course.)</p>
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<p>If your grid is 1 foot by 1 foot, then the area will be in square feet. </p>
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<h2>Why should I want to know the area of my garden?</h2>
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<p>There might be lots of reasons:</p>
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<ul>
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<li>You want to re-turf the garden. How much grass should you order? How much will it cost?</li>
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<li>You want to plant the garden with tomato plants. These have to be planted a certain distance apart. How many plants could you plant? What will be your expected yield of tomatoes?</li>
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<li>You want to hold a barbeque party. How many people could comfortably fit into your garden?</li>
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</ul>
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<p align="center" class="center80">You can now do <a href="garden-grass.html">Activity: Grass for the Garden</a></p>
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<h2>I am finished ... what have I learned?</h2>
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<p>You have learned about measuring, recording data, drawing, and calculating area, well done!</p>
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<p> </p>
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<div class="related">
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<a href="../geometry/area.html">Area</a>
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<a href="../area.html">Area of Plane Shapes</a>
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</div>
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