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# helppppp

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In the figure, each pair of consecutive sides forms a right angle. What is the area of the figure?

Mar 27, 2020
edited by helpppp  Mar 27, 2020

### 3+0 Answers

#1
+21017
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From the top (12") side to the bottom (9") side is 11" (found by adding the two vertical values (7" and 4") on the left-hand side.

Since there is a 3" segment on the top-right, the bottom-right length is 8" (11" - 3").

The horizontal value at the bottom-left is 8"; the horizontal value at the bottom-right is 9", for a total of 17".

Since the top-left length is 12", the top-right length is 5" (17" - 12").

Now, draw in some line segments and see if you can finish this.

Good luck!

Mar 27, 2020
#2
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Good job, geno!

CalTheGreat  Mar 27, 2020
#3
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Thanks, geno....here's  another way

Note  that  the  height of this figure  =   7 + 4  =  11

And the width   =   8 + 9  =  17

It  we  constructed  a  large rectangle with these dimensions, if would  give us an area of 17 x 11 =  187 in^2    (1)

Now

Note  that  at the bottom left,  we   can make  a smaller  rectangle with dimensions of

8 x 4  = 32 in^2       (2)

And at the top right, we  can make another smaller rectangle with dimensions of 3 x (17 -12)  =

3 x  5    = 15 in^2       (3)

Then  subtracting  (2)  and (3)  from (1)  we get the area  of the firgure = 187 - 32 - 15  = 140 in^2

Mar 28, 2020