## A rectangular garden is 76m long and 42m wide. Two cross paths each 2m wide are to be constructed parallel to the sides. If these paths pass

Question

A rectangular garden is 76m long and 42m wide. Two cross paths each 2m wide are to be constructed parallel to the sides. If these paths pass through the centre of the garden, find the cost of constructing the paths at the rate Rs.80 per square meter

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2021-09-04T19:34:21+00:00
2021-09-04T19:34:21+00:00 1 Answer
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## Answers ( )

Answer:cost for construction = 18,560 Rs

Step-by-step explanation:Given-

length of the garden = 76 m

breadth of the garden = 42 m

width of the road = 2 m

cost of constructing the paths = Rs 80 per m²

To Find – The cost of constructing the path

Solution-

First lets find the area of lengthwise path

area = length X breadth

= 76 X 2

= 152 m²

Now lets find the area of width wise path

area = length X breadth

= 42 X 2

= 84 m²

Now lets find the area of the central square where both the paths coincide.

we will later subtract the area of the central square because we included its area twice while we calculated the areas of the paths.

area = side²

= (2)²

= 4 m²

Now lets find the total area

Total area = area of lengthwise path + area of width wise path – area of central square

= 152 + 84 – 4

= 152 + 80

= 232 m²

cost for construction = area of paths X rate of construction

= 232 X 80

= 18,560 Rs

Hope this will help!!!!