Answer :
The length of the parking lot will be 212 yards
Perimeter of rectangle
From the question, we are to determine what the length of the parking lot needs to be
From the given information, we have that
"A rectangular-shaped parking lot is to have a perimeter of 546 yards"
and
"the width must be 61 yards"
From the formula for perimeter of a rectangle,
P = 2(l +w)
Where P is the perimeter
l is the length
and w is the width
From the given information,
P = 546 yards
w = 61 yards
Putting the parameters into the equation,
546 = 2(l + 61)
546 = 2l + 122
2l = 546 - 122
2l = 424
l = 424/2
l = 212 yards
Hence, the length of the parking lot will be 212 yards
Learn more on Calculating perimeter here: https://brainly.com/question/17297081
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