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katovenus [111]
2 years ago
5

Help pls and ty! What is the area of this trapezoid?

Mathematics
2 answers:
Gnesinka [82]2 years ago
6 0

Answer:

88 units^2

Step-by-step explanation:

The area of a trapezoid is equal to \frac{a+b}{2}h, where a and b are the top and bottom of the trapezoid and h is height.

We can see that a (top) equals 17, and b (bottom) equals 5 + 17 + 5 = 27. Then, the height of the trapezoid is 4.

  • \frac{17+27}{2} * 4
  • \frac{44}{2} * 4
  • 22 * 4
  • 88

Therefore, the answer is 88 units^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

docker41 [41]2 years ago
4 0

as we can see on the picture, the trapezoid has two parallel sides or "bases", one above is 17 units long the other below is 5+17+5 = 27 units long, and we also know its height is 4, so

\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=17\\ b=27\\ h=4 \end{cases}\implies \begin{array}{llll} A=\cfrac{4(17+27)}{2}\\\\ A=2(17+27)\\\\ A=2(44)\implies A=88 \end{array}

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Boys             12                 16                      4              32

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Boys             12                 16                      4              32

Girls              14                   5                      9            28

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