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Perimeter and Area of Trapezium

In a trapezoi...

Question

In a trapezoid ABCD,the diagonals intersect at E.If area of triangle ABE=72 and area of triangle CDE=50,then area of trapezium ABCD is ?

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Solution

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A B C D

A B

C D,

P .

△ A B P

72 {c m}^{2}

Δ C D P

50 {c m}^{2} .

a r e a (△ A O D) = a r e a (△ B O C)

A B C D

O

A B ∥ D C

A B = 3 C D

△ A O B

△ C O D

Diagonals AC and BD of a trapezium ABCD with AB $∥$ DC intersect each other at O.then, ar ( $△$ AOD) = ___.

A B C D

¯ A B

¯ C D

P

△ A B P

32 c m^{2}

△ C D P

50 c m^{2}

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