Word Problems Questions help

1. The length of a rectangular boat storage shed must be 4 meters more than the width, and the perimeter must be at least 120 meters. What is the range of values for the width?

a. at least 28 meters
b. At most 28 meters
c. Exactly 28 meters

Perimeter = 2*(W+W+4) = 4W + 8
4W + 8 >= 120
W >= 28 meters
Answer a)

2l + 2w is greater than/equal to 120
l = w+4
2 (w+4) + 2w is greater than/equal to 120
2w + 8 +2w is greater than/equal to 120
4w + 8 is greater than/equal to 120
(4w + 8) -8 is greater than/equal to 120-8
4w is greater than/equal to 112
4w/4 is greater than/equal to 112/4
w is greater than or equal to 28

2l + 2w is greater than/equal to 120
4w +8 is greater than/equal to 120
120 = 120; C

let the width be x
so you have length = 4 + width = 4 + x
perimeter= 2 ( length + width)
= 2 ( x+4 + x)
=2(2x + 4)
so 2 (2x + 4)=120
or 2x + 4 =60
2x=56
x=28
so answer is (c)

C 28+4=32 32+32+28+28=120

2(x+4)+2x≥120. 4x≥112. x≥28.

Answer is B