CAT 2022 Geometry & Mensuration Question (Medium)

Question

A trapezium has side parallel to and . If the perimeter of this trapezium is , then its area, in sq. , is

Accepted Answer

Step 1 Understand the Given Information We are given Trapezium ABCD with AD BC BAD 90 AD 8 cm BC 3 cm Perimeter 36 cm --- Step 2 Use Perimeter to Find Unknown Sides Perimeter of trapezium AB BC CD AD Substitute known values AB 3 CD 8 36 AB CD 36 - 11 25 quad --- Step 3 Use Right Angle Property Given

CAT 2022

Quantitative

Geometry & Mensuration

Medium

A trapezium $\text{ABCD}$ has side $\text{AD}$ parallel to $\text{BC}, \angle \text{BAD}=90^{\circ}, \text{BC}=3 \text{~cm}$ and $\text{AD}=8 \text{~cm}$ . If the perimeter of this trapezium is $36 \text{~cm}$ , then its area, in sq. $\text{cm}$ , is

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