Dimensions of a athletic feild

Question

An athletic field is twice as long as it is wide. If the perimeter of the athletic field is 108

?meters, determine the dimensions of the field.

Answer 1

Lets start with:

Length of field = X

Width of field = Y

 

First equation: X = 2*Y (twice as long as it is wide)

 

Second equation: 2*X + 2*Y = 108 (Equation of Perimeter of a rectangle is twice the length plus twice the width)

 

Substitute the first equation into the second

 

2*(2*Y) + 2*Y = 108

4*Y + 2*Y = 108

6*Y = 108

Y = 108/6 = 18 meters

Width of field is 18 meters

 

Length: X = 2*Y = 2*18 = 36 meters

Length of field is 36 meters