The area of the parallelogram ABCD is $90 c m^{2}$ (see Fig.9.13) EC=FD. Find $A (Δ A B D)$

45 c m^{2}

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60 c m^{2}

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75 c m^{2}

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90 c m^{2}

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Solution

The correct option is B $45 c m^{2}$
$G i v e n - A B C D i s a p a r a l l e l o g r a m a n d B D i s i t s d i a g o n a l . a r A B C D = {90 c m}^{2} . T o f i n d o u t - a r A B D = ? S o l u t i o n - A B C D i s a p a r a l l e l o g r a m a n d B D i s i t s d i a g o n a l ∴ B D d i v i d e s A B C D i n t o t w o e q u a l a r e a s . S o a r A B D = \frac{1}{2} a r A B C D = \frac{{90 c m}^{2}}{2} = {45 c m}^{2} A n s - a r A B D = {45 c m}^{2}$

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In the given figure area of $Δ D A C = 45 c m^{2}$ , then find the area of rectangle ABEF.

Question 3
The area of the parallelogram ABCD is $90 c m^{2}$ .
Find
a) ar (ABEF)
b) ar ( $Δ$ ABD)
c) ar ( $Δ$ BEF)

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