Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?

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Let w and l be the dimensions (width and length, respectively) of the coop.

We know that the length of the coop is 4 feet less than twice the width, which means that

Also, the area is 510, but the area is the product of the dimensions, so we have

Plug the expression for l in the formula for the area:

We can divide the whole expression by 2 and solve it with the quadratic formula:

So, the two solutions are

The negative solution makes no sense (we can't have negative lengths), so the width must be 17.

We conclude that the length is

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you