Question

The quadrilaterals JKLM and PQRS are similar.

Find the length x of QR.
K
Q
7
M
2
Z
3.6
S
1.8
A
X
3.6
R

Answer 1

x = 6.3

Explanation:

since the quadrilaterals are similar then the ratios of corresponding sides are in proportion, that is

`(QR)/(KL)` =
`(RS)/(LM)` ( substitute values )

`(x)/(7)` =
`(3.6)/(4)` ( cross- multiply )

4x = 7 × 3.6 = 35.2 ( divide both sides by 4 )

x = 6.3