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Question

Renuka 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 ₹ 55 per sq. metre is


A
₹ 17500
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B
₹ 18500
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C
₹ 16400
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D
₹ 16500
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Solution

The correct option is D ₹ 16500
Given, side of the square plot is 25 m.
Area of the square plot
=side2=252=625 sq. m.
The house plot is in the shape of a rectangle.
Also given that length and breadth of the rectangular region are 20 m and 15 m respectively.
So, area of the house plot
= length × breadth
= 20×15
= 300 sq. m.

Area of the garden=625300 =325 sq. m.

Cost of developing the garden
= Area × Rate
= 300×55
= 16500

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