Now You Try

<p>The midpoints of the sides of a rectangle that measures 10 cm by 8 cm are joined. Determine the area of the shaded region.</p><img src="/qimages/1291" />

<p>Calculate the shaded area of each figure. </p><img src="/qimages/1417" />

<p>A path is being constructed between the corners of the school playground, as shown. Determine the length of the path.</p><img src="/qimages/1444" />

<p>Determine the lengths of the boom and the forestay to one decimal place.</p><img src="/qimages/1448" />

<p>Calculate the missing length.</p><img src="/qimages/1442" />

<p>Calculate the shaded area of each figure.</p><img src="/qimages/1423" />

<p>Calculate the shaded area of each figure.</p><img src="/qimages/1420" />

<p>The outside play area of a daycare centre is shown. Show how you can use the Pythagorean theorem to ensure that the fence corners are at
right angles.</p><img src="/qimages/1450" />

<p>Calculate the area of the figure.</p><img src="/qimages/2662" />

<p>Determine the length of the hypotenuse.</p><img src="/qimages/1447" />

<p>Calculate the missing length.</p><img src="/qimages/1441" />

<p>Jon is designing a square lawn to fit inside a square yard with side length 10 m so that there is a triangular flower bed at each corner.</p><p><strong>a)</strong> Find the area of Jon’s lawn.</p><p><strong>b)</strong> How does the area of the lawn compare to the area of the flower
beds?</p><p><strong>c)</strong> Jon's design is an example of a square inscribed within a square. The vertices of the inside square touch the sides of the outside square but do not intersect. Will your answer in part b) always be true when a square is inscribed within a square? Explain.</p><img src="/qimages/1292" />

<p>Calculate the perimeter and area of each shape.</p><img src="/qimages/1418" />

<p>Determine the missing length. </p><img src="/qimages/1436" />

<p>Calculate the perimeter and area of each shape.</p><img src="/qimages/1419" />

<p>Calculate the shaded area of each figure. </p><img src="/qimages/1415" />

<p>Determine the missing length. </p><img src="/qimages/1439" />

<p>Determine the length of the hypotenuse.</p><img src="/qimages/1446" />

<p>Calculate the missing length.</p><img src="/qimages/1443" />

<p>Determine the missing length. </p><img src="/qimages/1437" />

<p>Determine the length of the hypotenuse.</p><img src="/qimages/1445" />

<p>What is the length of the direct flight path from Desaulniers to Callander?</p><img src="/qimages/1440" />

<p>Calculate the area and perimeter of this shape.</p><img src="/qimages/1424" />

<p>Determine the area of each square.</p><img src="/qimages/1449" />

<p><strong>(a)</strong> Divide it into simpler polygons.</p><p><strong>(b)</strong> Calculate the area of the shape. Explain your thinking.</p><img src="/qimages/1428" />

<p>Determine the missing length. </p><img src="/qimages/1438" />

<p>Calculate the shaded area of each figure.</p><img src="/qimages/1422" />