Question

The quadrilaterals JKLM and PQRS are similar.

Find the length x of PQ.
PLS HELP ME and dont give me the answer 2.4 its wrong

Answer 1

`x` = 2.8

Explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 :
`x` = 2 /
`x`

Therefore,
`(2)/(x)=(5)/(7)`

cross multiply: 14 = 5
`x`

Divide both sides by 5:
`x` = 2.8