SOLUTION: A carpenter made a doorway that is 1 foot taller than twice the width. If she used three pieces of door edge molding with a total length of 17 feet, then what are the approximate d

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Question 877013: A carpenter made a doorway that is 1 foot taller than twice the width. If she used three pieces of door edge molding with a total length of 17 feet, then what are the approximate dimensions of the doorway?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Slightly distracting way to give the perimeter of 17 feet, but the emphasis is on dimensions of a rectangle.

w for width
L for length, "tallness"
Perimeter is 2w+2L=17.
The description for w and L is L=1%2B2w.

The perimeter is not an even number, so just do the substitution of L into the perimeter equation:
2w%2B2%282w%2B1%29=17
2w%2B4w%2B2=17
6w=15
w=15%2F6
highlight%28w=5%2F2%29
This means L=2%285%2F2%29%2B1
L=5%2B1
highlight%28L=6%29
(Fixed mistake)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A carpenter made a doorway that is 1 foot taller than twice the width. If she used three pieces of door edge molding with a total length of 17 feet, then what are the approximate dimensions of the doorway?


Height of doorway: highlight_green%287%29 feet

Width of doorway:  highlight_green%283%29 feet

You can do the check!! 



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