CAT 2018 Geometry & Mensuration Question (Medium)

Question

In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is

Accepted Answer

Step 1 We are given - Parallelogram ABCD - Area of parallelogram 72 sq cm - cm, cm - We need to find the area of triangle . Step 2 Area of parallelogram ABCD base height. Taking as base cm Let be the perpendicular height from or equivalently, height from onto . So cm Thus, the perpendicular from to

CAT 2018

Quantitative

Geometry & Mensuration

Medium

In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is

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