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Question

Find the area and perimeter of a square plot of land whose diagonal is 24 m long. Find the answers correct to two decimal places.

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Solution

Area of the square = 12×Diagonal2

=12×24×24
=288 m2
Now, let the side of the square be x m.
Thus, we have:
Area=Side2288=x2x=16.97

Perimeter =4×Side
=4×16.97=67.88 m

Thus, the perimeter of the square plot is 67.88 m.

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