Help with word problem

Use functions to model and solve the following problem. The length of a rectangular football field is 14 meters more than twice the width. If the perimeter is 346 meters find the field's dimensions.

Question

Help with word problem

Use functions to model and solve the following problem. The length of a rectangular football field is 14 meters more than twice the width. If the perimeter is 346 meters find the field's dimensions.

anonymous · Answer

length=l 
width=w 
perimeter=p 
so, l=2w+14 (2 times the width add 14) 
p=346 
Perimeter will equal (2xwidth) +(2xlength) 
so 346=(2w)+(2l) 
since l=2w+14, 346=2w+2(2w+14) 
346=2w+4w+28=6w+28 
6w+28=346 
6w=318 
w=53, the width is 53 meters 
the length is 2w+14 
l=(2x53)+14=120 
the length is 120 meters.

darkbluechocobo · Answer

Oh thank you :p