Answer:
18 in²
Step-by-step 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
[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )
x = 18
That is area of smaller figure = 18 in²
