Question

Find the length x of RS.

Answer 1

x = 7

Explanation:

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

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

`(x)/(5)` =
`(4.2)/(3)` ( cross- multiply )

3x = 5 × 4.2 = 21 ( divide both sides by 3 )

x = 7