A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). Find the cost of cementing the path at the rate of Rs 200 per m².
Solution:
We know that
Area covered by swimming pool = 30 m × 20 m
= 600 m²
Length of outer rectangle = (30 + 8 + 8) m
= 46 m
Breadth of outer rectangle = (20 + 5 + 5) m
= 30 m
Here
Area of outer rectangle = 46 m × 30 m
= 1380 m²
We have to find the area of cemented path
Area of cemented path = Area of outer rectangle - Area of swimming pool
Substituting the values
= (1380 - 600) m²
= 780 m²
Given that
Cost of cementing 1 m² path = ₹200
Total cost of cementing the path = 780 x 200
= ₹ 156000
Therefore, the cost of cementing the path at the rate of Rs 200 per m² is Rs 156000.
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☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Sample Problem 12
A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). Find the cost of cementing the path at the rate of Rs 200 per m².
Summary:
A rectangular shaped swimming pool with dimensions 30 m × 20 m has 5 m wide cemented path along its length and 8 m wide path along its width (as shown in Fig. 9.11). The cost of cementing the path at the rate of Rs 200 per m² is Rs 156000
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