Answer:
The length of the rectangle is 17 yards and the width of the rectangle is 14 yards.
Explanation:
To find the perimeter of the rectangle, you had to add twice the length of the rectangle to twice the width of the rectangle since the shape of a rectangle is made up of two legs (each representing the rectangle's length) and two legs (each representing the rectangle's width.
The perimeter can be mathematically seen as p = 2l+2w, where p is the amount corresponding to the perimeter of the rectangle, l is the amount representing the length of the rectangle, and w is the quantity reflecting the width of the rectangle. This equation can be modified using the equation l = w+3, since it is given that the length is 3 yards longer than the width.
Therefore, the p = 2l+2w equation can be modified to solve for w using the given conditions and the equation defining l.
p = 2l+2w
p = 2(w+3)+2w [Substituting l = w+3]
p = 2w+6+2w
p = 4w+6
p-6 = 4w+6-6
p-6 = 4w
(p-6)/4 = 4w/4
w = (p-6)/4
w = (62-6)/4
w = 56/4
w = 14
Now the length of the rectangle can be determined using the equation l = w+3.
l = 14+3 = 17
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