CAT 2021 Geometry & Mensuration Question (Medium)

Question

Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle ADC is equal to 30 then the area of the parallelogram, in sq. cm, is

Accepted Answer

Solution --- Step 1 Given Parallelogram cm side Diagonal cm Find area of parallelogram . --- Step 2 Use properties of parallelogram In parallelogram, diagonals bisect each other. Let sides cm and cm unknown . We know diagonal formed by vectors and AC 2 AD 2 DC 2 2 cdot AD cdot DC cdot cos 30 circ --

CAT 2021

Quantitative

Geometry & Mensuration

Medium

Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle ∠ADC is equal to 30° then the area of the parallelogram, in sq. cm, is

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