Answer:
18 in²
Step-by-step explanation:
Given 2 similar figures then
linear ratio = 9 : 12 = 3 : 4
area ratio = 3² : 4² = 9 : 16
let the area of the other figure be x
[tex]\frac{9}{x}[/tex] = [tex]\frac{16}{32}[/tex] [ [tex]\frac{ratio}{corresponding area}[/tex] ]
cross- multiply
16x = 288 ( divide both sides by 16 )
x = 18
Area of other figure is 18 in²
