Question 9
A 2 metre wide path is present to the inner side of a square ground of side 60 metre. Find out :
(1) Area of path
(2) Expenditure on cementing the path at the rate of ₹270 per square metre.
Answers
(1) Area of the path is 464 m².
(2) Expenditure on cementing the path at the rate of ₹270 per m² is Rs. 125280.
Step-by-step explanation:
Case 1: Area of the Path
The side of the square ground = 60 m
∴ The area of the square ground ABCD = side² = 60² = 3600 m²
It is given that 2 m wide path is there to the inner side of the square ground
Inner side, EF = FG = GH = HE = 60 - (2*2) = 56 m²
∴ Area of the square EFGH = 56 * 56 = 3136 m²
Therefore,
The area of the path is given by,
= [area of the square ground ABCD ] - [Area of the square EFGH]
= 3600 - 3136
= 464 m²
Case 2: Total Expenditure on cementing the path
The rate of cementing the path is given as Rs. 270 per square meter
Therefore,
The total expenditure on cementing the path of 464 m² is given by,
= 464 m² * Rs. 270
= Rs. 125280
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