Answer:
length = 217 yd
width = 72 yd
Explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 578 yds
The statement
The length is one more than three times the width is written as
l = 1 + 3w
Substitute the expression into the above formula and solve for the width
That's
578 = 2(1 + 3w) + 2w
578 = 2 + 6w + 2w
8w = 576
Divide both sides by 8
w = 72
Substitute w = 72 into l = 1 + 3w
That's
l = 1 + 3(72)
l = 216 + 1
l = 217
Therefore the dimensions are
length = 217 yd
width = 72 yd
Hope this helps you