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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?

Respuesta :

Answer:

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

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