CAT 2021 Geometry & Mensuration Question (Medium)

Question

The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is

Accepted Answer

Construct the quadrilateral ABCD based on the given figure ! Trapezium with a triangle https optima-learn.b-cdn.net quantPyqImages img_1751026026698_3.jpg --- Step 2 Point P divides the line CD into two equal halves. Thus, CP PD. --- Step 3 It is given that the area of parallelogram ABPD is twice th

CAT 2021

Quantitative

Geometry & Mensuration

Medium

The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is

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