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In a quadrilateral ABCD, it is given tha...

In a quadrilateral ABCD, it is given that BD = 16 cm. If `AL bot BD and CM bot BD` such that AL = 9 cm and CM = 7 cm then ar(quad. ABCD) = ?

A

`256 cm^(2)`

B

`128 cm^(2)`

C

`64 cm^(2)`

D

`96 cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
ar(quad. ABCD)`=ar(triangleABD)+ar(triangleBCD)`
`=((1)/(2)xxBDxxAL)+((1)/(2)xxBDxxCM)`
`=((1)/(2)xx16xx9)+((1)/(2)xx16xx7)`
`=(72+56) = 128 cm^(2)`
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RS AGGARWAL-AREAS OF PARALLELOGRAMS AND TRIANGLES -MULTIPLE-CHOICE QUESTIONS (MCQ)
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  2. Two parallelogram sides of a trapezium are 12 cm and 8 cm long and the...

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  3. In the given figure, ABCD is a trapezium such that AL bot DC and BM bo...

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  4. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  5. ABCD is a rhombus in which angleC= 60^(@)then AC:BD=.

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  6. In the given figure, ABCD and ABEF are parallelograms such that ar(qua...

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  7. triangleABC and triangleBDE are two equilateral triangles such that D ...

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  8. In a ||^(gm) ABCD, if P and Q are midpoints of AB and CD respectively ...

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  9. The figure formed by joining the midpoints of the adjacent sides of a ...

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  10. In triangleABC, if D is the midpoint of BC and E is the midpoint of AD...

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  11. The vertex A of triangle ABC is joined to a point D on BC. IF E is the...

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  12. In triangleABC, it is given that D is the midpoint of BC, E is the mid...

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  13. If a triangle and a parallelogram are on the same base and between sam...

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  14. In the given figure, ABCD is a trapezium in which AB||DC such that AB ...

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  15. ABCD is a quadrilateral whose diagonals AC divides it into two parts, ...

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  16. In the given figure, a ||gm ABCD and a rectangle ABEF are of equal ar...

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  17. In the given figure, ABCD is a rectangle inscribed in a quadrant of a...

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  18. Which of the following is a false statement?

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  19. Which of the following is a false statement?

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  20. Look at the statement given below: I. A parellelogram and a rectangl...

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