Question

It would be amazing if someone helps

Answer 1

8 ft²

Explanation:

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

ratio of areas = a² : b²

Here the ratio of sides = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ EFG, then by proportion

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

9x = 18 × 4 = 72 ( divide both sides by 9 )

x = 8

The area of Δ EFG is 8 ft²