Question

The perimeter of a college athletic field is 96 meters and the length is 16M more than the width. Find the length and width

Answer 1

The equation to figure out a perimeter is P(perimeter) = 2w(width) + 2l(length).

Then you plug the numbers we know into the equation P = 2w + 2l.

l = w + 16

P = 96

96 = 2w + 2(w + 16)

Then you get rid of parentheses & you can get rid of these in two different ways.

1) Distributing the 2

96 = 2w + 2w + 32

Then simplifying to get the answer.

96 = 4w + 32

64 = 4w

16 = w

2) Dividing the 2 by both sides of the equation

48 = w + w + 16

Then simplify the expression to get the answer.

48 = 2w + 16

32 = 2w

16 = w