Question

The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.

Answer 1

`x = 9`

Explanation:

Given

The similar pentagons

Required

Find x

To do this, we make use of any equivalent ratios.

In this case, we use:

`KL : QR = KJ : QP`

Replace each of the above with the side lengths

`4 : 7.2 = 5 : x`

Express as fractions

`(4 )/( 7.2) = (5 )/( x)`

Cross multiply

`4 * x = 5 * 7.2`

`4x = 36`

Divide by 4

`x = 9`