John and Karen plan on building a garden in their new home. They plan on designing a rectangular garden with a perimeter of 70 feet. If the width of the garden is four times the length, what are the dimensions of their designed garden?

Length of the garden = 7 feet while the width = 28 feet

Step-by-step explanation:

Let the length of the garden be L while the width represented as W

From the question, we deduce the following:

W = 4L

Perimeter = 2 (L + W) = 70 feet ... substituting W = 4L into this equation gives

70 = 2 (L + 4L)

70 = 2 (5L)

70 = 10L ... dividing both sides by 10 gives

L = 7

Recall from the first equation that W = 4L

W = 4 * 7 = 28