The length of a soccer field is 37 meters more than its width. The perimeter is 348 meters. Find the length of the field.

Answer 1

length = L. Width = L + 37. Perimeter = 2(L) + 2(W)

so, 2L + 2(L + 37) = 348

2L + 2L + 74 = 348

4L = 274

L = 68.5 meters

Answer 2

The question gives you a system of equations in words:

L=W+37 (Length is 37 more than width)

P=348=2L+2W (the equation for perimeter)

Solve for W in either equation and then substitute into the other equation. I will solve for W using the first equation:

W=L-37

Now substitute into second equation:

348=2L+2(L-37)

Finally, expand and solve for L

348=2L+2L-2*37

348=4L-74

348+74=4L

422=4L

L=105.5 meters