Q:

If the area of ABC is 20 cm2, what is the area of PQR? Show your work.

Accepted Solution

A:
Since the triangles are similar, the first thing to do is find the scale factor.
 We have then:
 k = 6/4 = 3/2
 Then, the area will be given by:
 A '= k ^ 2 * A
 Substituting values:
 A '= ((3/2) ^ 2) * (20)
 A '= 45 cm ^ 2
 Answer:
 The area of PQR is:
 A '= 45 cm ^ 2