Question

Find the area of figure given in the attachment with full explanation.
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Answer 1

Answer:

381 cm^ 2

Step-by-step explanation:

to take out the area of given figure

break it into different parts

then area of given figure = area of part 1 + area of part 2 + area of part 3

= area of trapezium I + area of rectangle+ area of trapezium II

= 1/2(a+b)h + LXB + 1/2 (A, + b,)h,

= 1/2(12+25)6 + 25X 8 + 1/2(10+25)4

=111+200+ 70

= 381 cm^2

So the area of given figure = 381cm sq.

Hope it helped

Answer 2

$\bf{Given \: that : }$

$\sf{AJ = 6 \: cm \: and \: CD = 25 \: cm }$

$\sf{AB = 12 \: cm \: and \: EF = 25 \: cm }$

$\sf{HG = 10 \: cm \: and \: IG \: = 4 \: cm }$

Now

$\sf{Area \: of \: ABCD = \frac{1}{ \cancel2} \times (25 + 12) \times { \cancel6} }$

$\sf \implies \: 37 \times 3$

$\sf \implies \: {111 \: cm}^{2}$

$\sf{Area \: of \: CDGF= (25 \times 8)} = {200 \: cm}^{2}$

$\sf{Area \: of \:EFGH= \frac{1}{ \cancel2} \times (25 + 10) \times { \cancel4} }$

$\sf \implies \: 35 \times 2$

$\bf \implies \: {70 \: cm}^{2}$

$\bf \bigstar\:{Total \: area \: of \: figure : }$

$\sf \implies \: {111 \:cm}^{2} + {200 \: cm}^{2} + {70 \: cm}^{2}$

$\sf \implies \: {{381 \: cm}^{2}}$

Final Answer

$\bf \implies \: {{381 \: cm}^{2}}$