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Two adjacent sides of a parallelogram are 13 cm and 14 cm, and one of its diagonals is 15 cm. What is the area of the parallelogram?

Competition practiceMensuration

A $168 cm^{2}$
B $84 cm^{2}$
C $182 cm^{2}$
D $210 cm^{2}$

Step-by-Step Solution

The diagonal splits it into two 13-14-15 triangles, each of area

21 \times 8 \times 7 \times 6 = 84

. Area

= 2 \times 84 = 168 cm^{2}

.

Answer: A)

168 cm^{2}

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