Question

In this diagram, bac~edf. if the area of bac= 6 in.², what is the area of edf? PLZ HELP PLZ PLZ PLZ

Answer 1

Answer:

2.7 in²

Step-by-step explanation:

Area of ∆BAC : ∆Area of EDF = BC² : EF² (based on the area of similar triangles theorem)

Thus:

$6 in^2 : x in^2 = (3 in)^2 : (2 in)^2$

$\frac{6}{x} = \frac{3^2}{2^2}$

$\frac{6}{x} = 2.25$

$\frac{6}{x}*x = 2.25*x$

$6 = 2.25x$

$\frac{6}{2.25} = \frac{2.25x}{2.25}$

$2.67 = x$

Area of ∆EDF = 2.7 in²