Answer: Length = 17 ft
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.
Let x be the width
Let 2x + 3 be the length
Given information
Perimeter = 48 ft
width = x
length = 2x + 3
Given expression deducted from the question
Perimeter = 2 (l + w)
Substitute values into the expression
48 = 2 (2x + 3 + x)
Combine like terms in the parentheses
48 = 2 (2x + x + 3)
48 = 2 (3x + 3)
Expand parentheses and apply the distributive property
48 = 2 · 3x + 2 · 3
48 = 6x + 6
Subtract 6 on both sides
48 - 6 = 6x + 6 - 6
42 = 6x
Divide 6 on both sides
42 / 6 = 6x / 6
x = 7
Find the value of length
Length = 2x + 3 = 2(7) + 3 = 14 + 3 =
Hope this helps!! :)
Please let me know if you have any questions