Answer:
12 in²
Step-by-step explanation:
Since the figures are similar
linear ratio = a : b , then
area ratio = a² : b²
linear ratio of sides = 8 : 12 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let the area of smaller figure be x then
[tex]\frac{4}{x}[/tex] = [tex]\frac{9}{27}[/tex] ( cross- multiply )
9x = 108 ( divide both sides by 9 )
x = 12
Area of smaller figure is 12 in²
