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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 = \( 4 \times 16 = 64m \)
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