Becky wants to fence in a rectangular play area for her dog. if she was 82 feet of fencing and wants the length of the play area to be 9 feet longer than its width then what should the dimensions of the play area be?

Length= width+9     Now we can substitute length with width!
Perimeter = 2(length) + 2(width)
Perimeter = 82
82= 2(w+9) + 2w
41 = w+ 9 + w
41-9 = 2w
32 = 2w
16= w    (now plug w into the equation for length)
length = 16 + 9 = 25

SOO... Dimensions = 16 x 25