Question

In the given figure ABCD is a trapezium in which AB = 40m, BC = 15m, CD = 28m, AD = 9m and CE ⊥ AB. Area of trapezium ABCD is

(a) 306 m²

(B) 316 m²

(c) 296 m²

(d) 284 m²

Answer 1

Correct answer is (a) 306 m²

In the given figure, AECD is a rectangle.

Length AE = Length CD = 28m

Now,

BE = AB - AE = 40 - 28 = 12m

Also,

AD = CE = 9m

In the given figure, if DA is perpendicular to AE, then it can be solved, otherwise it cannot be solved.