Question

Write an equation for the description

The length of a rectangle is twice its width. The perimeter of the rectangle is 131 feet.
_____=_____

Answer 1

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131 = 43.6666666 + 87.33333333

131 = 131

Explanation:

Answer 2

`131=6w`

Explanation:

`l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=(131)/(6)\\\\w=21.8\overline{3}\\\\l=43.\overline{6}`