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Need step by step explanation to solve this rectangles

Need step by step explanation to solve this rectangles-example-1
User Casimiro
by
6.1k points

1 Answer

6 votes

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

User CsTamas
by
6.8k points