MBA
Exam
ABCD is a trapezium with AB parallel to CD. AC is perpendicular to BC and BD is perpendicular to AD. If AD=BC=15cm and AB=25cm , find the area of the trapezium ABCD. 1) 192 cm^2 2) 232 cm^2 3) 172 cm^2 4) None of these 5) Cannot be Determined
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- The Answer will be 192 cm^2
we can find out the area of triangle ADB
so height for this triangle wud be equal to the height of trapezium.
so we get height = 12cm.
now we can easily get to CD=7cm
and we know area of trapezium =1/2*(AB+CD)*HEIGHT
NOW,1/2*(25+7)*12 = 192 cm.
how to get CD=7 cm
when we will drop two perpendicular lines from D to AB as point E and from C to AB as point F.
So,we can see that EF = CD (as the line drawns were perpendicular)
Now In triangleADE,
We know AD=15 and DE=12
So we can easily find AE = 9
Similarly from triangleBCF,
we will get BF = 9cm
therefore,EF = AB -(AE+BF) = 25 - 18 =7cm.
Hope it Helps.:) - 7 years agoHelpfull: Yes(0) No(2)
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