Question

The length of a rectangle is four more than three times it’s width. The perimeter is 64 inches

Answer 1

Length: 25 inches

Width: 7 inches

Explanation:

Perimeter = 2L + 2W

Length: 3w + 4

Width: w

64 = 2(3w + 4) + 2w

64 = 6w + 8 + 2w

64 = 8w + 8

56 = 8w

w = 7

Length: 3(7) + 4 = 25

Width: 7

Answer 2

Length: 25, Width: 7

Explanation:

Let the width be represented by w. We can then assume that the length is equivalent to 3w+4

So, we can set the equation 2(3w+4)+2(w). Simplify to 8w+8=64

Simplify the equation and solve for w, which is 7

Plug into the the length, which is 3w+4