Which equation could be used to determine w, the width, in feet, of the sandbox?

Question

Filipo is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Part A

Which equation could be used to determine w, the width, in feet, of the sandbox ?

A. w + w + 2 = 29

B. w + 2w + 1 = 29

C. 2w + 2(w + 2) = 29

D. 2w + 2(2w + 1) = 29

Part B

What is the width, in feet, of the sandbox?

Answer 1

use eq D,

Width = w feet, length = 2w+1 feet

Perimeter = 2 Length +2 width

2w+2(2w+1)=29

2w+4w+2=29

6w=27

w=27/6=9/2= 4.5 feet