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Question

The perimeter of a square field is 14 cm more than the perimeter of a rectangle. The length of the rectangle is 49 cm which is 350% of its width. If a street of width 10 cm surrounds from outside the square, then find the total cost of constructing the street at the rate of Rs. 25 per sq. cm?

A Rs. 35,200 Correct Answer Incorrect Answer
B Rs. 45,000 Correct Answer Incorrect Answer
C Rs. 34,000 Correct Answer Incorrect Answer
D Rs. 53,680 Correct Answer Incorrect Answer
E Rs. 53,000 Correct Answer Incorrect Answer

Solution

Let the width of the rectangle = x cm Then, 350% of x = 49 x = 49 × 100/350 = 14 cm Perimeter of the rectangle = 2(length + width) = 2 × (49 + 14) = 126 cm Perimeter of the square = (126 + 14) = 140 cm The sides of the square = 140/4 = 35 cm The area of the square field without street = (35)2 sq. cm = 1225 sq. cm The area of the square field with street = (35 + 20)2 sq. cm = 3025 sq. cm The area of the street = 3025 – 1225 = 1800 sq. cm The total cost of constructing the street = 1800 × 25 = Rs. 45,000

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