Question

A rectangular plot of land measures 95 m by 72 m. Inside the plot, a path of uniform width
of 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass. Find the
total expenses involved in constructing the path at * 80 per mº and laying the grass at 40
per m2​

Answer 1

Step-by-step explanation:

Let PQRS be the given rectangular plot and ABCD be the inside boundary of the path.

Length = 95 m

Breadth = 72 m

Area of the plot = (95 72) m2 = 6,840 m2

Width of the path = 3.5 m

∴ AB = (95 - 2 3.5) m = (95 - 7) m = 88 m

AD = (72 - 2 3.5) m = (72 - 7) m = 65 m

Area of the grassy rectangle plot ABCD = (88 65) m2 = 5,720 m2

Area of the path = (Area PQRS - Area ABCD)

= (6840 - 5720) m2 = 1,120 m2

Rate of constructing the path = Rs. 80 per m2

∴ Total cost of constructing the path = Rs. (1,120 80) = Rs. 89,600

Rate of laying the grass on the plot ABCD = Rs. 40 per m2

∴ Total cost of laying the grass on the plot = Rs. (5,720 40) = Rs. 2,28,800

∴ Total expenses involved = Rs. ( 89,600 + 2,28,800) = Rs. 3,18,400

Answer 2

Answer:

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