Q. 125.0( 1 Vote )

In the given figure ABCD is a trapezium such that AL ⊥ DC and BM ⊥ DC. If AB = 7cm, BC = AD = 5cm and AL = BM = 4cm, then ar(trap. ABCD) = ?A. 24cm2B. 40cm2C. 55cm2D. 27.5cm2

Given:

AL DC

BM DC

AB = 7cm

AL = BM = 4cm

Here,

MC = DL and AB = LM = 7 cm

Consider the ΔBMC

Here, by Pythagoras theorem

BC2 = BM2 + MC2

52 = 42 + MC2

MC2 = 25—16

MC2 = 9

MC = 3cm

MC = DL = 3cm

CD = DL + LM + MC = 3 + 7 + 3 = 13cm

Now,

Area of the trapezium is given by:

Area of the rhombus = = 40cm2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Area and Parallelogram46 mins
Quiz | Surface Area & Volumes49 mins
Champ Quiz | Area of Triangle53 mins
Surface Area of Right Circular Cylinder52 mins
Champ Quiz | Area of Parallelogram55 mins
Surface Area of Right Circular Cylinder49 mins
Surface Area of Cube and Cuboid49 mins
Quiz | Area of Parallelogram and Triangles43 mins
Surface Area and Volume of Spheres40 mins
Surface Area and Volume of Right Circular Cone37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses