Question

The quadrilaterals JKLM and PQRS are similar.

Answer 1

Answer:

$x$ = 2.8

Step-by-step 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, $\frac{2}{x}=\frac{5}{7}$

cross multiply:  14 = 5$x$

Divide both sides by 5:  $x$ = 2.8