Question

a floor plan shows the area of a room is 271.25 square feet. if the room is 15.5 feet wide, how long is it?
area = 271.25 ft²
15.5 ft
a) 8.75 feet
b) 17.5 feet
c) 120.125 feet
d) 240.25 feet

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is $A = l \times w$, where $A$ is area, $l$ is length, $w$ is width. Rearrange to solve for length: $l = \frac{A}{w}$

Step2: Substitute given values

Substitute $A = 271.25$ and $w = 15.5$ into the formula:
$l = \frac{271.25}{15.5}$

Step3: Calculate the quotient

Perform the division: $l = 17.5$

Answer:

B) 17.5 feet