Q. 53.6( 22 Votes )
In the given figure, AB||DC and DA 
AB If 
cm, 
cm, 
cm and CL 
AB the area of trap. ABCD is
A. 84 cm2
B. 72 cm2
C. 80 cm2
D. 91 cm2
Answer :
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.
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