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Ipatiy [6.2K]
3 years ago
14

the floor of a shed has an area of 96 square feet. the floor is in the shape of a rectangle whose length is 4 feet less than twi

ce the width. find the length and the width of the floor of the shed.
Mathematics
1 answer:
Paul [167]3 years ago
3 0
Alright in this one, you are going to need to factor. 
The width is x
The length is 2x-4
To find the area of a rectangle is L*W
so (2x-4)(x) when distributed is 2x^2 -4x

Then put that in the equation and you have:
2x^2 -4x = 96
2x^2 -4x -96 = 0  

2x^2+12x-16x-96=0
3x(x+4)-4(x+4)=0
(3x-4)=0
(x+4)=0
x=-4
<u>x=3/4</u>
Since length isn't negative
we will use <u>3/4 as x.
</u>
Width= 0.75 ft
Length= 1.5

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