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.
Regroup terms
p - 3/4 = 1/2
Add 3/4 to both sides
p = 1/2 + 3/4
Simplify 1/2 + 3/4 to 5/4
<u>p = 5/4</u>
The formula for simple interest is i = p*r*t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
Here, i = ($315) (0.015) (3) = $14.18 (answer)