Question

If a rectangular picture frame is 3 times as long as it is wide, and the perimeter of the frame is 64 inches, what is its length?

Answer 1

Length = 3w = 3 x 8 = 24 inches

Explanation:

Perimeter = 2(l + w)

64 = 2(3w + w)

64 = 2(4w)

w = 64 / 8

w = 8

Answer 2

Hey there! :)

Answer:

Length = 24 inches.

Explanation:

Formula for the perimeter of a rectangle:

P= 2l + 2w

Let w = width, and 3w = length. Therefore:

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

Simplify:

64 = 6w + 2w

64 = 8w

w = 8

Width = 8 inches

Length = 3w = 3(8)

Length = 24 inches.