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Answer:
14 ft
Step-by-step explanation:
Given:
- Bedroom is 4 ft longer than it is wide.
- Area is 252 ft².
Let x = width of the bedroom:
- width = x ft
- length = (x + 4) ft
Therefore:
To find the value(s) of x, complete the square.
Add the square of half the coefficient of the term in x to both sides:
<u>Factor</u> the perfect trinomial on the left side:
<u>Square root</u> both sides:
Therefore:
As width cannot be negative, the width of the room is 14 ft.