Question

Vishal Pandey has a square plot with the measurement as shown in the given figure he wants to construct a house in the middle of the plot the garden is developed around the house find the total cost of developing the garden around the house @ rupees 40 per metre square.

Answer 1

outer side of a square
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a= 20 metres

Find the area of the outer square
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area of the square = a²
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area of the outer square = (20)²
area of the outer square = 400 m²

Find the inner length of the square
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width = 5 metres
outer length= 20 m
inner length = outer length - 2* width
inner length = 20 - 2*5
inner length = 20 - 10
inner length = 10 m
so inner length of the square is 10 m

Find the area of the inner square,
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area of the square = a²
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a = 10 m
area of the inner square = (10)²
area of the inner square = 100 m²

Find the area of the garden :
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outer area of the square - inner area of the
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square
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so,
area of the garden = outer area of the square - inner area of the square
area of the garden = (400-100) m²
area of the garden = 300 m²

Find the cost of the garden,
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given :
cost of garden 40 per metre square = 40/m²
cost of the garden = area of the garden * cost of garden 40 per metre square
cost of the garden = 300 m² * 40/m²
cost of the garden = 12000 rupees