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

CAT 2020 Exam Shift 3 Solved Paper

Question : 70 of 76

Marks: +1, -0

In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and

∠ B A D=45^{'}

. If DC=5

{cm}, {BC}=4 {cm}

, the area of the trapezium in sq

{cm}

Solution:

Dropping a perpendicular DE onto

{AB}

, the figure is divided into two parts - a rectangle of dimensions

4 × 5

and an isosceles triangle AED.
Required answer = Area of rectangle + Area of triangle

=4 × 5+\;{1}/{2}(4 × 4)=28 {cm}^{2}

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