The length of a rectangle is 2 yards longer than its width. If the perimeter of the rectangle is 64 yards, find its length and w
1 answer:
Answer:
Length: 17 yards
Width: 15 yards
Step-by-step explanation:
If the length is 2 yards longer than the width, then the width is w, and the length is w+2
Equation for perimeter is , where:
P = Perimeter
l = length
w = width
Plug in the values:
64 = 2(w+2) + 2w
Distribute:
64 = 2w + 4 + 2w
Combine like terms:
64 = 4w + 4
Subtract 4 from both sides:
60 = 4w
Divide 4 from both sides:
15 = w
So if w = 15, then
Width = w, which is 15 yards.
Length = w+2, which is 15+2 = 17 yards.
Hope this answer helped! :)
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