The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

So we can setup variable equations for this:

so we're given that the length is 22feet longer than the width!

so as an expression length is equal to 22+w

and width as an expression is just w

so the formula for the perimeter for a rectangle is 2l+2w=perimeter

so fill it in now!

1616=2 (22+w) + 2w

1616=44+2w+2w

1616=44+4w

1572=4w

divide by four ...

w=393

and length is simply 22 more than that as stated in the question!

so length is 415

dimensions are: 415x393