Question

1. A rectangular grassy plot is 75 m long and 60 m broad. It has a path of width 2 m all around
it on the inside. Find the area of the path and the cost of constructing it at 125 per m²
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Answer 1

Answer:

Step-by-step explanation:

Length of plot = 75 m

Breadth of plot = 65 m

Area of plot = l x b

= 75 x 65 = 4500 m square

Now, Width of path = 2 m

Therefore, length of plot including path = 75 + 2 = 77

Breadth of plot including plot = 60 + 2 = 62

Therefore, Area of plot including plot = 77 x 62 = 4774 m square

Therefore, Area of path = Area of plot including path − Area of plot only

Therefore, Area of path = 4774 - 4500  = 274 m square

Given that cost of constructing path is Rs. 125 per square meter.

Cost of Constructing path around plot = 125 x 274 = Rs.34250