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A rectangle has a perimeter of 34 cm and a diagonal of 13 cm. What is its area?

Competition practiceGeometry

A $60 cm^{2}$
B $65 cm^{2}$
C $72 cm^{2}$
D $30 cm^{2}$

Step-by-Step Solution

l + b = 17

and

l^{2} + b^{2} = 169

. Since

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

, so lb =

60 cm^{2}

(the sides are 12 and 5).

Answer: A)

60 cm^{2}

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