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These figures are similar . The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth . imeter = 20cm; Area = 18.6c * m ^ 2 Perimeter ater = 28cm; Area=[ ? ] cm^ 2

These figures are similar The perimeter and area of one are given The perimeter of the other is also given Find its area and round to the nearest tenth imeter 2 class=

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Answer:

≈ 36.5 cm²

Step-by-step explanation:

given 2 similar figures with ratio of perimeters = a : b , then

ratio of areas = a² : b²

ratio of perimeters = 20 : 28 = 5 : 7 , then

ratio of areas = 5² : 7² = 25 : 49

let x be the required area then by proportion

[tex]\frac{18.6}{x}[/tex] = [tex]\frac{25}{49}[/tex] ( cross- multiply )

25x = 911.4 ( divide both sides by 25 )

x = 36.456

then area of shape is approx 36.5 cm² ( to the nearest tenth )

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