The length of a rectangle is 5 feet longer than its width. if the perimeter of the rectangle is 50 feet, find its area.

Let L be length and W be width.

L = 5 + W

So the perimeter is equal to 2L + 2W and that equals 50 feet.

So substitute L with 5 + W to get:

2 (5+W) + 2W = 50

10 + 2W + 2W = 50

10 + 4W = 50

4W = 40

W = 10

Which means:

L = 15

So the area is just LxW which is 15x10 = 150 feet squared