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State true or false.

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. The total cost of developing a garden around the house at the rate of Rs. 55 per $m 2$ is Rs. 17,875.

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True

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answer is A.

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Detailed Solution

It is given the total cost of developing a garden around the house at the rate of Rs. 55 per

m 2

is Rs. 17,875.
Mrs. Kaushik has a square plot with the measurement as shown 40231 ? | Scholr™

Area of a square is the square of its sides.

⇒ Area = (s i d e s) 2 ⇒ Area = (25) 2 ⇒ Area = 625 m 2

Area of the rectangle is the product of length and breadth.

Area = (1 × b) Area = (20 × 15) Area = 300 m 2

Calculate area of the garden and the required cost.
Area of garden = (Area of square plot of side 25cm) - (Area of rectangular house)
Area of garden is;

⇒ 625 m 2 − 300 m 2 ⇒ 325 m 2

Cost of developing garden per

m 2

= Rs.55
Cost of developing garden of

325 m 2

is;

⇒ R s . (325 × 55) ⇒ R s .17, 875

Required cost of developing the garden is Rs. 17,875.
Therefore, the given statement is true.
Hence option (1) is correct.

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