Answer :
Answer:
8 ft²
Step-by-step 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
[tex]\frac{4}{x}[/tex] = [tex]\frac{9}{18}[/tex] ( cross- multiply )
9x = 18 × 4 = 72 ( divide both sides by 9 )
x = 8
The area of Δ EFG is 8 ft²
