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Question

Find the area of a rectangular plot on side of which is 48 m and its diagonal 50 m.

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Solution

We know that all the angles of a rectangle are 90° and the diagonal divides the rectangle into two right angled triangles.
So, one side of the triangle will be 48 m and the diagonal, which is 50 m, will be the hypotenuse.
According to Pythagoras theorem:
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
Perpendicular = Hypotenuse2-(Base)2
Perpendicular = 502-482=2500-2304=196=14 m
∴ Other side of the rectangular plot = 14 m

∴ Area of the rectangular plot = 48 m × 14 m = 672 m2
Hence, the area of a rectangular plot is 672 m2.

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