Find the area of the quadrilateral ABCD. Here, AC $= 22$ cm, BM $= 3$ cm, DN $= 3$ cm, and BM $⊥$ AC, DN $⊥$ AC.

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Solution

$A r e a o f p a r a l l e l o g r a m$

$(A B C D) = A r e a o f t r i a n g l e (Δ A B C) + A r e a o f t r i a n g l e (Δ A C D)$

$= \frac{1}{2} \times b a s e_{1} \times h e i g h t_{1} + \frac{1}{2} \times b a s e_{2} \times h e i g h t_{2}$

$= \frac{1}{2} \times 22 \times 3 + \frac{1}{2} \times 22 \times 3$

$= 66 c m^{2}$

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Question 11

Find the area of the quadrilateral ABCD.
Here, AC = 22 cm, BM = 3 cm, DN = 3 cm and BM $⊥$ AC, DN $⊥$ AC.

Find the area of the quadrilateral $A B C D$ .

Here, $A C = 22$ cm, $B M = 3$ cm, $D N = 3$ cm, and $B M ⊥ A C, D N ⊥ A C$

A B C D, B M

D N

A C

B M = D N

B R = 8 c m

B D

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