a garden is 120 metre long and 85 metre wide it has an inside path of uniform width 3.5 metre all around it the remaining part of the garden is covered by grass find the cost of cutting the garden by grass at 50 paise per square metre
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Suppose the outer rectangle is ABCD and the inner rectangle is abcd.
Length and Breadth of the outer rectangle = 120 meter and 85 meter.
The uniform width of the inside path is 3.5 meter,
So, the length of the inner rectangle = 120 - 7 = 113 m
and the breadth of the inner rectangle = 85 - 7 = 78 m
The area of the inner rectangle = 113 × 78 = 8814 m²
Cost of covering the garden by grass = Rs 0.5 per square meter.
The total cost of covering the garden by grass = 0.5 × 8814
= Rs 4407
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