# 10.3.3. The Relation between the Area of Two Similar Polygons

Given that , , and the area of the , find the area of the approximated to nearest hundredth.

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In , where , and where . If the area of , determine the area of the trapezium .

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Given that bisects , cm, cm, and the area of , determine the area of approximated to the nearest two decimal places, if needed.

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Given that and the area of , find the area of .

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Given that and the area of , find the area of trapezium .

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The ratio of the areas of two similar triangles equals . If the perimeter of the greater triangle equals cm, find the perimeter of the smaller triangle.

• Acm
• Bcm
• Ccm
• Dcm
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and are two similar triangles where the ratio between the area of and the area of . If the perimeter of cm and cm, find the perimeter of and the length of .

• A perimeter of cm, cm
• B perimeter of cm, cm
• C perimeter of cm, cm
• D perimeter of cm, cm
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where cm and cm. If the area of , find the area of .

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where the ratio between the perimeter of and the perimeter of . Find the value of and the ratio between the area of and the area of .

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where , , and cm. Find , the length of , and the ratio between the area of and that of .

• A, cm,
• B, cm,
• C, cm,
• D, cm,
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The ratio of the perimeter of to the perimeter of is , and the sum of their areas is . Determine both areas.

• A area of , area of
• B area of , area of
• C area of , area of
• D area of , area of
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where cm and cm. If the area of , find the area of .

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