Question

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

PLEASE NEED HELP

Answer 1

4.5 in²

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

`(x)/(9)` =
`(8)/(16)` ( cross- multiply )

16x = 72 ( divide both sides by 16 )

x = 72 ÷ 16 = 4.5

Area of ΔEDF = 4.5 in²