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Area of a rectangle is 96 m2 When the length of the same rectangle increased by 6 m and the breadth decreased by 3 m, then the area of the rectangle decreases by 30 m2. What is the perimeter of a square whose sides are equal to the length of rectangle ?


A) 48 m

B) 60 m

C) 80 m

D) 64 m

E) 52 m

Correct Answer:
D) 64 m

Description for Correct answer:
Area of rectangle = 96

lb=96 ...... (i)

According to question

\( lb- \left(l+6\right) \times \left(b-3\right)=30 \)

lb-lb+3l-6b+18 =- 30

3l-6b = 12

l-3b-4 = 0

\( l = 2 \left(b+2\right) \) ...... (ii)

By solving equations (i) and (ii), we get

l = 16 m, b = 6m

The side of square3 = l = 16m

Perimeter of a square = \( 4 \times 16 = 64m \)

Part of solved RBI Grade B questions and answers : Exams >> Bank Exams >> RBI Grade B




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