Question

- 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 m​

Answer 1

Answer:

₹66550

Step-by-step explanation:

Let ABCD be the given grassy plot and let EFGH be the inside boundary of the path,

Then,

Length AB = 75 m

Breadth BC = 60 m

Area of the plot ABCD = (75 × 60) m2

= 4500 m2

Width of the path = 2 m

∴EF = (75 – (2 × 2)) = (75 – (4)) =71 m

and FG = (60 – (2 × 2)) = (60 – (4)) = 56 m

Area of the rect. EFGH = (71 × 56) m2 = 3976 m2

Area of the gravel path = ( area ABCD) – (area EFGH)

= (4500 – 3976)

= 524 m2

Hence, cost of constructing the path = ₹ (524 × 125)

= ₹ 65500

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