The length of a rectangular door is 24 feet less than three times its width. Solve for parameter.

Question

You have a door. you know the length is 24 less than three times its width. You need to know the parameter to see if it will fit your doorframe.

___w___

| |

3w-24 | | 3w-24

| |

|_______|

w

you have to combine like terms to find parameter. Solve

Answer 1

L=3W-24

Perimeter = 2(3W-24)+2W = 6W-48+2W = 8W-48

Perimeter = 8W-48 feet

W>8 feet , (since L=3W-24>0)

Perimeter > 64-48 = 16

Perimeter > 16 feet