Answer:
3 feet
Step-by-step explanation:
To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:
2w + 1, and this is equal to the height, so
2w + 1 = h
Now, we are given the height is 7. We substitute 7 where the height, h, is.
2w + 1 = 7
We can subtract 1 from both sides and divide by 2 to isolate x:
2w + 1 = 7
-1 -1
2w = 6
w = 3 - the width is 3 feet
