two Cross Roads each of width 5 m, run at right angles through the the centre of a rectangular Park of length 80 m and breadth 40 m and parallel to its sides. find area of the roads .also find the the cost of levelling the road at the the rate of 50 per metre square.
Answers
Answer:
3,200
Step-by-step explanation:
because here is multiple
Two cross roads each of width 5 m, run at right angles through the the centre of a rectangular park of length 80 m and breadth 40 m and parallel to its sides. find area of the roads. Also find the the cost of levelling the road at the the rate of 50 per metre square.
Length of the first cross road parallel to the length = 80 m
Breadth of the first cross road parallel to the length = 5 m
Area of the first cross road = (80) (5)
= 400 m²
Length of the first cross road parallel to the length = 40 m
Breadth of the first cross road parallel to the length = 5 m
Area of the first cross road = (40) (5)
= 200 m²
Area of the common part of the 2 cross roads with width 5 m that lies at the center of the rectangular park = (5) (5)
= 25 m²
Area of the 2 cross roads = Area of the 1st cross road + Area of the 2nd cross road - Common area
⇒ (400 + 200) - 25
⇒ 600 - 25
= 575 m²
Cost of constructing the roads = Rs. 50 m²
Total cost of constructing the road = Rate × Area
= (575) (50)
= 28750
∴ Cost of constructing the road of area 575 m² is Rs. 28750.
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