Question

“These figures are similar. The area of one is given. Find the area of the other.”
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Answer 1

64 in²

Explanation:

For 2 similar figures, if

linear ratio = a : b , then

area ratio = a² : b²

Here the linear ratio = 8 : 10 = 4 : 5, hence

area ratio = 4² : 5² = 16 : 25

Let x be the area of the smaller figure, then

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

25x = 16 × 100 = 1600 ( divide both sides by 25 )

x = 64

Area of smaller figure = 64 in²