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Afina-wow [57]
3 years ago
9

Maggie colors a figure in the shape of a trapezoid. The trapezoid is 6 inches tall. The bases are 4.5 inches and 8 inches, What

is the area of the figure that Maggie colored
Mathematics
1 answer:
Yuri [45]3 years ago
7 0
The figure maggie coloured was 216.
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I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
natali 33 [55]

Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.

So,

AM + MB = AB                  <--- distance of a segment is the sum of its pieces

AM + AM = AB                  <--- M is the midpoint, so AM = MB

3x + 3 + 3x + 3 =  8x - 6   <--- substituting known amounts that were given

6x + 6 = 8x - 6                  <--- collect like terms on the left side

6x = 8x - 12                       <--- subtract 6 on both sides

-2x = -12                            <--- subtract 8x on both sides

x = 6                                  <--- divide both sides by -2

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Thus, AM is 21 units.

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