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There is a rectangular field of length 90 m and breadth is 40 m and there are two roads each 13 m wide made running perpendicular to each other. What is the cost of spreading pebbles over them at the rate of Rs. 30 / m2?

There is a rectangular field of length 90 m and breadth is 40 m and there are two roads each 13 m wide made running perpendicular to each other. What is the cost of spreading pebbles over them at the rate of Rs. 30 / m2? Correct Answer Rs. 45630

Given:

Length of rectangular field = 90 m

Breadth of rectangular field = 40 m

Width of road made = 13 m

Rate of spreading pebbles = Rs. 30 / m2

Formula used:

Area = Length × Breadth

Cost of spreading pebbles = Area × Rate of spreading pebbles

Calculation:

Width of 1st road = 13 m

Length of 1st road = 90 m

Area = Length × Breadth

⇒ Area of 1st road = 90 × 13

Area of 1st road = 1170 m2

Width of 2nd road = 13 m

Length of 2nd road = 40 m

Area = Length × Breadth

⇒ Area of 2nd road = 13 × 40

⇒ Area of 2nd road = 520 m2

Now, Area of overlapping = 13 ×13

⇒ Area of overlapping = 169 m2

Now, Total area of road = (1170 + 520 – 169) m2

Total area of road = 1521 m2

Cost of spreading pebbles = Area × Rate of spreading pebbles

Cost of spreading pebbles = Rs. (1521 × 30)

⇒ Rs. 45630

∴ Total cost of spreading pebbles is Rs. 45630

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