Answer :
Sure! Let's go through the steps to determine the total square footage of all ten windows in the family room addition.
1. Determine the dimensions of each window:
Each window has a glass size that measures 12 inches in width and 40 inches in height.
2. Calculate the area of one window in square inches:
To find the area, multiply the width by the height:
[tex]\[ \text{Area per window} = \text{width} \times \text{height} = 12 \, \text{inches} \times 40 \, \text{inches} = 480 \, \text{square inches} \][/tex]
3. Convert the area from square inches to square feet:
There are 144 square inches in one square foot (since [tex]\(12 \times 12 = 144\)[/tex]).
[tex]\[ \text{Area per window in square feet} = \frac{\text{Area per window in square inches}}{144} = \frac{480 \, \text{square inches}}{144} \approx 3.333 \, \text{square feet} \][/tex]
4. Calculate the total square footage for all ten windows:
Multiply the area of one window (in square feet) by the total number of windows:
[tex]\[ \text{Total square footage for ten windows} = \text{Area per window} \times \text{number of windows} = 3.333 \, \text{square feet} \times 10 = 33.333 \, \text{square feet} \][/tex]
Therefore, the total square footage of all ten windows is approximately 33.333 square feet.
1. Determine the dimensions of each window:
Each window has a glass size that measures 12 inches in width and 40 inches in height.
2. Calculate the area of one window in square inches:
To find the area, multiply the width by the height:
[tex]\[ \text{Area per window} = \text{width} \times \text{height} = 12 \, \text{inches} \times 40 \, \text{inches} = 480 \, \text{square inches} \][/tex]
3. Convert the area from square inches to square feet:
There are 144 square inches in one square foot (since [tex]\(12 \times 12 = 144\)[/tex]).
[tex]\[ \text{Area per window in square feet} = \frac{\text{Area per window in square inches}}{144} = \frac{480 \, \text{square inches}}{144} \approx 3.333 \, \text{square feet} \][/tex]
4. Calculate the total square footage for all ten windows:
Multiply the area of one window (in square feet) by the total number of windows:
[tex]\[ \text{Total square footage for ten windows} = \text{Area per window} \times \text{number of windows} = 3.333 \, \text{square feet} \times 10 = 33.333 \, \text{square feet} \][/tex]
Therefore, the total square footage of all ten windows is approximately 33.333 square feet.
