If the area of BAC=8, what is the area of EDF. Enter a decimal rounded to the tenths.
PLEASE NEED HELP

Answer:
4.5 in²
Step-by-step explanation:
Given that the triangles are similar then
linear ratio of corresponding sides = 3 : 4, then
ratio of corresponding areas = 3² : 4² = 9 : 16
let the area of ΔEDF be x then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )
16x = 72 ( divide both sides by 16 )
x = 72 ÷ 16 = 4.5
Area of ΔEDF = 4.5 in²