Area of a rectangular field is \( \Large \Large 3584 m^{2} \) and the length and the breadth are in the ratio 7 : 2, respectively. What is the perimeter of the rectangle?


A) 246 m

B) 292 m

C) 286 m

D) 288 m

Correct Answer:
D) 288 m

Description for Correct answer:
Let length of the rectangular field = 7x m

and breadth of the rectangular field = 2x m

According to the question,

Area of rectangular field = \( \Large Length\times Breadth \)

=> 3584 = \( \Large 7x\times 2x \)

=> \( \Large 14x^{2} \) = 3584 => \( \Large x^{2} \) = \( \Large \frac{3584}{14} \) = 256

=> \( \Large x^{2} \)=256 => x=16m

Length of rectangular field

= \( \Large 7\times 16 \) = 112 m

and breadth of rectangular field

= \( \Large 2\times 16 \)= 32 m

Perimeter of rectangle = 2 (Length + Breadth)

= 2(112+ 32)=\( \Large 2\times 144 \)=288m .

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








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