Question

Help me with Math please

Answer 1

18 in²

Explanation:

Given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 9 : 12 = 3 : 4

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the smaller figure then by proportion

`(x)/(9)` =
`(32)/(16)` = 2 ( multiply both sides by 9 )

x = 18

That is area of smaller figure = 18 in²