ok, we know the perimeter is 510 yards
perimeter is both widths plus both lengths = perimeter
so we can say W is width and L is length
because there are two widths and two lengths we can say
2W + 2L = 510
now...they tell us the Length is 30 yards less than twice the width
We can write that as
L = 2W-30
Now we plug the value we got for L into the original equation and get:
2(2W -30) + 2W = 510
distribute and simplify
4W -60 + 2W = 510
6W = 570
solve for W by dividing by 6
W = 95
So the width is 95 yards and to Find out the Length simply plug your answer for W into the equation (L= 2W-30)
L = 2(95) -30
L = 160
So width is 95 and length is 160
you can check the answer by plugging into original equation of 2W+2L = 510
and it checks out to be correct
