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total cost of the devoloping the garden =Rs 17,875

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Verified answer

Given that :-

• 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.

To find:-

• The total cost of developing a garden around the house at the rate of ₹ 55 per m².

Solution:-

First, we have to find the area of square :

• Side of Square = 25 m

According to the question by using the formula we get,

Area of square = side × side

Area of a square = 25 × 25 m

Area of a square = 625 m²

Hence, the area of square is 625 m²

Now, we have to find the area of a rectangle :

• Length = 20 m
• Breadth = 15 m

According to the question by using the formula we get,

Area of rectangle = length × breadth

Area of rectangle = 20 m × 15m

Area of rectangle = 300 m

Hence, the area of a rectangle is 300 m² .

Now, we have to find the area of garden :

• Area of Square = 625 m²
• Area of Rectangle = 300 m²

According to the question by using the formula we get,

Area of garden = Area of square - area of rectangle

Area of garden =  625 m² - 300 m²

Area of garden = 325 m²

Hence, the area of garden is 325 m² .

Now, we have to find the total cost of developing a garden around the house :

• Area of Garden = 325 m²
• Cost of Developing Garden = ₹ 55 per m²

According to the question by using the formula we get,

Total cost = Area of garden × cost of developing garden

Total cost = 325 m² × 55 m²

Total cost = ₹ 17875

Therefore,  The total cost of developing a garden around the house is ₹ 17875 .

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