A rectangular park 80m long and 60m wide is surrounded by a driveway of uniform width. How wide is the driveway if its area is 3/25 of the area of the park?
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Answered by
18
answer. 1= Let width of driveway = x metres
Park area = 80 x 60 m² = 4800 m²
Drive area = 2 (80x) + 2(60x) + 4x²
Drive area = 4x² + 280 x
Drive area = (3/25)(4800) m² = 576 m²
4x² + 280x = 576
4x² + 280x - 576 = 0
x² + 70x - 144 = 0
(x + 72) (x - 2) = 0
x = 2
Width of driveway = 2 m
Answered by
2
Answer:
144m
Step-by-step explanation:
area of a drive way = 3/25 * 80 * 60 = 576m
breadth of a driveway = area of a drive way / 4
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