Question

Need step by step explanation to solve this rectangles

Answer 1

b =
`(56)/(3)`

Explanation:

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

`(QT)/(LO)` =
`(TS)/(ON)` ( substitute values )

`(12)/(b)` =
`(27)/(42)` ( cross- multiply )

27b = 504 ( divide both sides by 27 )

b =
`(504)/(27)` =
`(504)/(27)` =
`(56)/(3)`