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 twice the width. find the length and the width of the floor of the shed.

Question

Cornelius

Mathematics

29 September, 13:13

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 twice the width. find the length and the width of the floor of the shed.

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Lamar Burnett · Answer 1

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

x=3/4

Since length isn't negative

we will use 3/4 as x.

Width = 0.75 ft

Length = 1.5