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Mathematics 19 Online
OpenStudy (swaugh):

the area of a triangle is calculated with the following formula: A=1/2bh. toledos backyard shed has a triangular shape with bas of 8x+2 feet and a height of 6x-1 feet. find the area of The shed.

Vocaloid (vocaloid):

you are given the formula A = (1/2)*base*height you are also given the base and height therefore, use the formula to find the area

Vocaloid (vocaloid):

are you familiar with the foil method?

OpenStudy (swaugh):

Yes

OpenStudy (swaugh):

I got the answer 48x^2+4x-2

Vocaloid (vocaloid):

you're very close! the formula also has (1/2) in it, so you need to multiply that by 1/2

OpenStudy (swaugh):

How do you multiply trinomals ?

Vocaloid (vocaloid):

multiply every individual term by 1/2

Vocaloid (vocaloid):

ex: what is 48x^2 * 1/2?

OpenStudy (swaugh):

24x^2

Vocaloid (vocaloid):

good what is 4x * 1/2?

OpenStudy (swaugh):

2x

Vocaloid (vocaloid):

good! what is -2 * 1/2?

OpenStudy (swaugh):

-1

Vocaloid (vocaloid):

good! so your answer is 24x^2 + 2x - 1

OpenStudy (swaugh):

Thanks

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