Find the area of the shaded figures?

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Find the area of the shaded figures?

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Answer 1 · 2016-10-05T01:38:22

$A) 55, B) 2000$ $A) 55, B) 2000$

Explanation:

A) top diagram :

Shaded area = Area ABCD - Area ABC - Area ADE
$= (18 \times 10) - (\frac{1}{2} \times 18 \times 10) - (\frac{1}{2} \times 10 \times 7)$ $=(18xx10)-(1/2xx18xx10)-(1/2xx10xx7)$
$= 180 - 90 - 35$ $=180-90-35$
$= 55$ $=55$

Or shaded area $= \frac{1}{2} \times (C E) \times (A D) = \frac{1}{2} \cdot (18 - 7) \cdot 10 = \frac{1}{2} \cdot 11 \cdot 10 = 55$ $=1/2xx(CE)xx(AD)=1/2*(18-7)*10=1/2*11*10=55$

B) Bottom diagram:

Shaded area $= (80 \times 95) - (\frac{1}{2} \times 80 \times 45) - (\frac{1}{2} \times 80 \times 95)$ $=(80xx95)-(1/2xx80xx45)-(1/2xx80xx95)$

$= 7600 - 1800 - 3800$ $=7600-1800-3800$
$= 2000$ $=2000$

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Find the area of the shaded figures?

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