I just need to know the steps on how to solve this: If the area of a trapezoid is 40 cm squared, the height is 4 cm and the bottom base is 12 cm, what is the length of the top base?
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jimthompson5910 (jim_thompson5910):
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jimthompson5910 (jim_thompson5910):
Area of trapezoid
\[\Large A = h*\frac{b_1+b_2}{2}\]
jimthompson5910 (jim_thompson5910):
b1 and b2 are the parallel bases
h is the height
OpenStudy (malia_halvorson):
My online teacher never taught me to divide the bases by 2
jimthompson5910 (jim_thompson5910):
how about multiplying the sum by 0.5?
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jimthompson5910 (jim_thompson5910):
maybe your teacher gave you something like this?
\[\Large A = h*0.5*(b_1+b_2)\]
OpenStudy (malia_halvorson):
My classes are online so I never interact with him. He just gives us questions and videos to watch but the videos don't really explain it. But i would just plug in what I already know right?
jimthompson5910 (jim_thompson5910):
yes `If the area of a trapezoid is 40 cm squared, the height is 4 cm and the bottom base is 12 cm`
A = 40
h = 4
b1 = x
b2 = 12
OpenStudy (malia_halvorson):
40=4* b1+12/2 ??
jimthompson5910 (jim_thompson5910):
\[\Large A = h*\frac{b_1+b_2}{2}\]
\[\Large 40 = 4*\frac{x+12}{2}\]
\[\Large 40 = 4*\frac{1}{2}*(x+12)\]
\[\Large 40 = 2*(x+12)\]
\[\Large 40 = 2x+24\]
solve for x
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OpenStudy (malia_halvorson):
x=8
jimthompson5910 (jim_thompson5910):
correct
OpenStudy (malia_halvorson):
That was easier than I thought. I understood it more thank you