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Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m2.
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Given Question :-
Mrs Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of ₹ 55 per m2.
Side of a square plot = 25 m
So, Area of square plot = (side)^2 = (25)^2 = 25 * 25 = 625 m²
Length of the house = 20 m and
Breadth of the house = 15 m
So, Area of the house = length × breadth = 20 × 15 = 300 m²
Area of garden = Area of square plot – Area of house
= 625 – 300 = 325 m²
Cost of developing the garden per sq. m = Rs55
So, cost of developing the garden 325 sq. m = Rs55 × 325 = Rs17,875
- Hence, total cost of developing a garden around is Rs 17,875.
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As per the given data, first we need to find the whole area and then subtract the area occupied by the house.
Area of the square plot =25 m×25 m=625 m2
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.∴ Area of the house =20 m×15 m=300 m2
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.∴ Area of the house =20 m×15 m=300 m2Then, area occupied by the garden = Total area − area of the house =625−300=325 m2
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.∴ Area of the house =20 m×15 m=300 m2Then, area occupied by the garden = Total area − area of the house =625−300=325 m2Cost for 1 m2=Rs. 55
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.∴ Area of the house =20 m×15 m=300 m2Then, area occupied by the garden = Total area − area of the house =625−300=325 m2Cost for 1 m2=Rs. 55Then, total cost for developing a garden =325×55=Rs. 17875
Area of the square plot =25 m×25 m=625 m2Now, total area = area occupied by the house = Area of rectangle with length 20 m and breadth 15 m.∴ Area of the house =20 m×15 m=300 m2Then, area occupied by the garden = Total area − area of the house =625−300=325 m2Cost for 1 m2=Rs. 55Then, total cost for developing a garden =325×55=Rs. 17875Hence, the answer is 17875.