kendallsbackup435
Answered

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

Enter your answer in the box.

__ units2

Help Pls And Ty What Is The Area Of This Trapezoid Enter Your Answer In The Box Units2 class=

Sagot :

renknee

Answer:

88 units^2

Step-by-step explanation:

The area of a trapezoid is equal to [tex]\frac{a+b}{2}h[/tex], 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.

  • [tex]\frac{17+27}{2} * 4[/tex]
  • [tex]\frac{44}{2} * 4[/tex]
  • [tex]22 * 4[/tex]
  • [tex]88[/tex]

Therefore, the answer is 88 units^2.

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

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

[tex]\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}[/tex]

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