Question

Please help me with this and can you show me how to do it??

Answer 1

Answer:

8 ft²

Step-by-step explanation:

Since ΔEFG ~ ΔABC, they are proportionately related. Each of the corresponding sides differ by the scale factor, which shows how much bigger or smaller the new triangle is from the original triangle.

Purple = original triangle, triangle 1

Pink = new triangle, triangle 2

Find the scale factor, "k". It will be a fraction because the triangle gets smaller.

k = FG/BC = 2/3

The scale factor can be used to find a side, the height or the area of the new triangle.

Use the scale factor squared to find the area.

A₂ = (A₁)(k²)

= (18 ft²)(2/3)²

= 7.999...ft²

= 8 ft²