lol33992 lol33992
  • 24-05-2019
  • Mathematics
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What is the area of this figure? Enter your answer in the box

What is the area of this figure Enter your answer in the box class=

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IchoPicho IchoPicho
  • 24-05-2019

The answer should be 51

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jdoe0001 jdoe0001
  • 24-05-2019

Check the picture below.

so the figure is really two triangles and one trapezoid.

the yellow triangle has a base of 3, height of 2.

the pink triangle has a base of 6, height of 1.

the trapezoid has a height of 6, and bases of 7 and 9.

[tex]\bf \stackrel{\textit{area of yellow triangle}}{\cfrac{1}{2}(3)(2)}+\stackrel{\textit{area of pink triangle}}{\cfrac{1}{2}(6)(1)}+\stackrel{\textit{area of trapezoid}}{\cfrac{6(7+9)}{2}} \\\\\\ 3+3+48\implies 54[/tex]

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