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.

Answer 1

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.

Answer 2

Oh thank you :p