Question

Please please help me

Answer 1

12 in²

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

`(4)/(x)` =
`(9)/(27)` ( cross- multiply )

9x = 108 ( divide both sides by 9 )

x = 12

Area of smaller figure is 12 in²