Finding width and length

Question

The perimeter of a college athletic field is 96 meters and the length is 12 meters more than the width. Find the length and width

Answer 1

Hi Josie:

From the information given we can write 2 equations,

giving us a system to solve.

 

perimeter of a college athletic field is 96 meters:

2(L+w) = 96

 L + w = 48 m    {equation 1}

 

length is 12 meters more than the width:

L = w + 12         {equation 2}

 

In 1st equation substitute w+12 in place of L and solve for w

 

w + 12 + w = 48

2w = 36

w = 18 m width

 

L = w + 12 = 30 m length