TheCATExam
Sign in

CAT 2020 Slot 3 — QA Question 4

Basics of QuadrilateralsEasy

In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and ∠BAD = 45°. If DC = 5 cm, BC = 4 cm, the area of the trapezium in sq.cm is

Answer & solution

Answer: 28

Solution

The following diagram can be drawn using the information given.

​​​​​​​

Since, ∆ADE is an isosceles right triangle hence, DE = AE = 4 cm

⇒ AB = BE + AE = 5 + 4 = 9 cm

∴ Area of trapezium = 12×(CD+AB)×BC = 12×14×4 = 28 cm2.

Hence, 28.

CAT 2020 Slot 3 QA Q4: In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and ∠BAD = 45°. If DC = 5 cm, BC — Solution | TheCATExam