Need step by step explanation to solve this rectangles

Question

asked Jul 4, 2023 28.0k views

1 Answer

CsTamas · Answer 1 · 2023-07-11T04:12:16+0000

Answer:

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) =
=
(56)/(3)