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The perimeter of a rectangle is 34 cm and a diagonal is 13 cm. Find its area.

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals

A $120 cm^{2}$
B $60 cm^{2}$
C $65 cm^{2}$
D $30 cm^{2}$

Step-by-Step Solution

l + b = 17

and

l^{2} + b^{2} = 169. (l + b)^{2} = 289 = 169 + 2 lb

, so lb =

60 cm^{2}

. (The sides are 12 cm and 5 cm.)

Answer: B)

60 cm^{2}

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