Question

A rectangular window is 48 in long and 24 in wide. Raina would like to buy a screen for the window. The cost of the screen is based on the number of square feet the screen is. Use the facts to find the area of the window in square feet.

Answer 1

Solution:

Given that;

A rectangular window is 48 in long and 24 in wide

To find the area, A, of the rectangle, the formula is

$\begin{gathered} A=lw \\ l\text{ is the length} \\ w\text{ is the width} \end{gathered}$

Converting the side lengths from inches to feet,

Where

$1\text{ in}=\frac{1}{12}\text{ ft}$

The side lengths will be

$\begin{gathered} l=48\text{ in}=48\times\frac{1}{12}=4\text{ ft} \\ w=24\text{ in}=24\times\frac{1}{12}=2\text{ ft} \end{gathered}$

The area, A, of the window in square feet, will be

$\begin{gathered} A=lw=4\times2=8\text{ ft}^2 \\ A=8\text{ ft}^2 \end{gathered}$

Hence, the answer is 8 ft²