The area of a rectangle is 1.8 times the area of a square. The length of the rectangle is 5 times the breadth. The side of the square is 20 cm. What is the perimeter of the rectangle?

A) 145 cm

B) 144 cm

C) 133 cm

D) 135 cm

Correct answer:
B) 144 cm

Description for Correct answer:

Area of square =\( \Large (Side)^{2}=20^{2} \) = 400 sq cm

Area of rectangle =\( \Large 1.8\times 400 \) = 720 sq cm

Let length and breadth of rectangle be 5x and x, respectively.

Then, according to the question.

\( \Large 5x\times x \)=720

=> \( \Large 5x^{2} \)=720 => \( \Large x^{2}=\frac{720}{5} \)=144

=\( \Large \sqrt{144} \)=12 cm

Perimeter of rectangle = 2 (5x + x) = 12x

=\( \Large 12\times 12 \) = 144cm



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