Applyo - College Application Platform

CAT 2020 Slot 3 QA Question & Solution

GeometryMedium

Question

In a trapezium $ABCD$, $AB$ is parallel to $DC$, $BC$ is perpendicular to $DC$ and $\angle BAD=45^{0}$. If $DC$ = 5cm, $BC$ = 4 cm,the area of the trapezium in sq cm is

Solution

Question Figure

Given, BC = DE = 4

CD = BE = 5

In triangle ADE, EAD=45^{0}$

$\tan\ 45\ =\ \frac{DE}{AE}$$ => AE = 4

Area of trapezium = Area of rectangle BCDE + Area of triangle AED

= 20 + 8 = 28