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# The perimeter of a rectangle having area equal to $$\Large \Large 144 cm^{2}$$ and sides in the ratio 4 : 9 is

 A) 52 cm B) 56 cm C) 60 cm D) 64 cm

 A) 52 cm

Description for Correct answer:
Let l=4x and b = 9x

Area of rectangle = $$\Large l\times b$$

144=$$\Large 4x\times 9x$$=> $$\Large x^{2}=\frac{144}{36}$$ => $$\Large x^{2}$$=4

x=2

l=8 cm and b=18 cm

Perimeter of rectangle = 2 (l + b)

= 2 (8 + 18)

= $$\Large 2\times 26$$ = 52 cm

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

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