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What is the area of the trapezoid shown? Express your answer in the simplest exact form.

 

 Feb 16, 2022
 #1
avatar+1622 
+7

We have ourselves here a trapezoid. The area of a trapezoid is h(base1 + base2) / 2.

 

Plugging in the values we see the area is 6(12 + 15)/2 = 3(12 + 15) = 3(27) = 81.

 

Thus, the area of the trapezoid is 81 units squared. 

smiley

 Feb 16, 2022
edited by proyaop  Feb 16, 2022
 #2
avatar+363 
+2

ok the area of a trapezoid = \(\frac{(base(1)+base(2))\times(height)}{2}\)

so \(\frac{(12+15)\times 6}{2}\)=\(27\times3=81\)

so 81

 Feb 16, 2022
 #3
avatar+1622 
+8

You said it XxmathguyxX.

Remember Guest, the formula for the area of a trapezoid is the combined bases x the height x 0.5.

proyaop  Feb 16, 2022
 #4
avatar+363 
+1

yup!!

 Feb 17, 2022

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