1.

The diagonal of a parallelogram of sides 20 m and 7 m is 21 m. What will be the area of this parallelogram?1). 12√34 m22). 24√34 m23). 12√17 m24). 24√17 m2

Answer»

As per the given DATA,

Let ABCD be the parallelogram

Area of parallelogram ABCD = 2 × (area of triangle ABC)

Now let us consider a = 20 m, b = 7m and c = 21 m

Area of triangle ABC = √s(s - a)(s - b)(s - c), where s = (a + b + c)/2 = 20 + 7 + 21/2 = 24 m

= √24(24 - 20)(24 - 7)(24 - 21)

= 12√34 sq.cm

Area of parallelogram ABCD = 2 × 12√34 = 24√34 sq.cm


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