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?

solve this using the method table of values showing each step by step

me i only have so much ! this is worth 14 points!

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

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap