# The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width. How do you find the length and width. How would I find the answer?

##### 2 Answers

Length = 34m

Width = 16m

#### Explanation:

I would form an algebraic expression from the information given:

Let length of field be represented by

We are told that perimeter is 100m, so

which simplifies to:

1.

by dividing both sides by 2

The other info tells us that length,

2.

Then solve the equations simultaneously (I have used substitution):

Then substitute back into either equation to obtain

2.

Double check by making sure

Hope this helps!

#### Explanation:

Perimeter=