Question

Two similar shapes have a pair of corresponding sides which are easily measurable.

The smaller shape's side has a length of 4m, and the larger shape has a side length of
5m. If the area of the smaller shape is 80m², what is the area of the larger shape?

Answer 1

125 m²

Explanation:

Given sides of similar shapes in the ratio a : b then

ratio of area = a² : b²

Here ratio of sides = 4 : 5 , so

ratio of areas = 4² : 5² = 16 : 25

let x be the area of the larger shape then by proportion

`(16)/(80)` =
`(25)/(x)` ( cross- multiply )

16x = 2000 ( divide both sides by 16 )

x = 125

Then area of larger shape is 125 m²

Answer 2

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Explanation: