Question

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

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__ units2

Answer 1

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}`

Answer 2

88 units^2

Explanation:

The area of a trapezoid is equal to
`(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.

• 
  `(17+27)/(2) * 4`
• 
  `(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! ♡