A garden 200 m long ,150m wide has a road 4 m wide all around it on the inside. Find the cost of cementing it Rs 9.50per square metre
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Rs 27208
Step-by-step explanation:
Hi,
Let the outer rectangle be ABCD and the inner rectangle be abcd.
Length of the inner rectangle = 200 m
and the breadth of the inner rectangle = 150 m
Since the road which is of uniform width of the outside path is 4 meter,
So, the length of the outer rectangle = 200 + 2*4 = 208 m
and the breadth of the inner rectangle = 150 + 2*4 = 158 m
The area of the inner rectangle = 200*150 = 30000 m²
The area of the outer rectangle = 208*158 = 32864 m²
So, Area of the road = Area of Outer rectangle - Area of inner rectangle
= 32864 - 30000
2864 m²
Cost of cementing the road = Rs 9.50 per m²
The total cost of cementing the road = 9.5 × 2864
= Rs 27208
Hope, it helps !
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