Question 532492
L = 4W (the length is 4 times the width

{{{Area = L*W}}}

so {{{Area = 4W*W}}}

Since the Area is 144

{{{144 = 4W*W}}} or {{{144=4W^2}}}

Divide both sides by 4 to get {{{36=W^2}}}

Take the square root of both sides to get {{{W=6 or W=-6}}}. Since it is a length, we don't need the negative, so {{{W=6}}}

If {{{W=6}}} and the length is 4 times the width, {{{L=4*6=24}}}.

We now know the width is 6 and the length is 24, so we can find the perimeter, using the perimeter formula: {{{P=2L+2W}}}

So {{{P=2(24)+2(6)=48+12=60 yards}}}