Question

The perimeter of an athletic field is 104 meters and the length is 18 m more than the width. What is the length and width

Answer 1

Perimeter = w+w+l+l = 104
w= width and l = length
but length = w+18 substitute this for length
so now we have
w+w+w+18+w+18 = 104 now add the w's together and the 18's also

Answer 2

Let x=length and y=width
2x+2y=104
x-18=y

Substitute the 2nd equation into the first one
2x+2y=104
2x+2(x-18)=104
2x+2x-36=104

4x=140
x=140/4
x=35

Substitute x into one of the original equations
x-18=y
35-18=y
17=y

the length is 35m, the width is 17m

Answer 3

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