Question

In the figure below, ABCD∼EFGHABCD∼EFGH and has a scale factor of 3:2. If the perimeter of ABCD is 39 units, find the perimeter of EFGH.f.58.5G.42h.39j.26

Answer 1

The scale factor for ABCD and EFGH is 3:2, means that perimeter of ABCD is 3/2 times the perimeter of EFGH.

Determine the perimeter of EFGH.

`\begin{gathered} P(ABCD)=(3)/(2)* P(EFGH) \\ 39=(3)/(2)* P(EFGH) \\ P(EFGH)=(2\cdot39)/(3) \\ =26 \end{gathered}`

So perimeter of EFGH is 26 units.