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The perimeter of a rectangle is 46 cm and its diagonal is 17 cm. What is its area?

Competition practiceMensuration

A $240 cm^{2}$
B $120 cm^{2}$
C $136 cm^{2}$
D $132 cm^{2}$

Step-by-Step Solution

l + b = 23, l^{2} + b^{2} = 289.2 l b = 529 - 289 = 240

, so area

= 120 cm^{2}

(sides 15 and 8).

Answer: B)

120 cm^{2}

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