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ABCD is a parallelogram with side AB = $(2 y + 3)$ cm and the opposite side CD = $(3 y - 4)$ cm.
Also BC = 9 cm.
Find the perimeter of ABCD (in cm).

Class 9Properties of a ParallelogramGeometry — Quadrilaterals

A104
B47
C57
D52

Step-by-Step Solution

AB = CD:

2 y + 3 = 3 y - 4

, so

y = 7

. AB =

2 (7) + 3 = 17

cm. Perimeter = 2(AB + BC) =

2 (17 + 9) = 52

cm.

Answer: D) 52

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