# In the given figu

Given:

AB||DC, DA AB and CL AB cm cm cm

Therefore here AL = DC

That is AL = 7 cm

Hence LB = AB – AL = 13 – 7 = 6cm

In LCB using Pythagoras theorem

BC2 = BL2 + CL2

102 = 62 + CL2

100 = 36 + CL2

CL2 = 100 – 36

CL2 = 64

CL = 8

Here CL = AD = height of the trapezium

Therefore height = 8 cm

Now,

We know that area of trapezium is × (sum of parallel sides) × height

Therefore Area of trapezium = × (7 +13) × 8 = 80 cm2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

The area of a traRD Sharma - Mathematics

Top surface of a RD Sharma - Mathematics

Find the area of RD Sharma - Mathematics

Find the sum of tRD Sharma - Mathematics

The area of a traRD Sharma - Mathematics

The area of a traRD Sharma - Mathematics

The area of a traRD Sharma - Mathematics

Find the altitudeRD Sharma - Mathematics

Find the height oRD Sharma - Mathematics