The perimeter of a rectangular garden is 44 yards. It's length is 5 yards less than double the width. Find the length and the width of the garden. Show all work.

The length is 13ft and the width is 9ft

Step-by-step explanation:

first we have to make 2 equations one that shows the relationship of width and length and another that shows the calculation of the perimeter

l = length

w = width

l = 2w - 5

2w + 2l = 44

replace in the second equation the value of l with (2w - 5)

2w + 2l = 44

2w + 2(2w - 5) = 44

2w + 4w - 10 = 44

2w + 4w = 44 + 10

6w = 54

w = 54/6

w = 9

we replace in the first equation the value of w with what we previously obtained

l = 2w - 5

l = 2*9 - 5

l = 18 - 5

l = 13

The length is 13ft and the width is 9ft

The answer to your question is width = 9 yd, length = 13 yd

Step-by-step explanation:

Data

Perimeter = 44 yd

Length = l

Width = w

l + 5 = 2w

Process

1.- Write the formula of the perimeter

       P = 2l + 2w

2.- Substitute l in the Perimeter equation

       l = 2w - 5

       P = 2(2w - 5) + 2w

       P = 4w - 10 + 2w

       P = 6w - 10

-Substitution

        44 = 6w - 10

         44 + 10 = 6w

          54 = 6w

           w = 54/6

           w = 9 yd

3.- Find l

      l = 2(9) - 5

      l = 18 - 5

      l = 13 yd

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