First find the square feet of each room and then add those together:
12 feet x 12 feet = 144 square feet
10 feet x 14 feet = 140 square feet
21 feet x 20 feet = 420 square feet
144 + 140 + 420 = 704 square feet total.
1 square foot = 0.111 square yards.
Multiply total square feet by 0.1111 to find the square yards:
704 x 0.111 = 78.2 square yards. Round your answer as needed.
Given:
A homeowner wants to carpet three rooms that measure 12 feet by 12 feet, 10 feet by 14 feet, and 21 feet by 20 feet.
To find:
The area of the total required carpet in square yards.
Solution:
Area of a rectangle:
[tex]A=l\times w[/tex]
Where, [tex]l[/tex] is length and [tex]w[/tex] is width.
Using the above formula, the respective areas of three carpets are:
[tex]12\times 12=144\text{ ft}^2[/tex]
[tex]10\times 14=140\text{ ft}^2[/tex]
[tex]21\times 20=420\text{ ft}^2[/tex]
Total area is:
[tex]144+140+420=704\text{ ft}^2[/tex]
We know that,
[tex]1\text{ yd }=3\text{ ft}[/tex]
[tex]1\text{ sq. yd }=9\text{ sq. ft}[/tex]
[tex]\dfrac{1}{9}\text{ sq. yd }=1\text{ sq. ft}[/tex]
Now, we have 1 square feet is equal to [tex]\dfrac{1}{9}[/tex] square yard. So,
[tex]704\text{ ft}^2=\dfrac{1}{9}\times 704\text{ yd}^2[/tex]
[tex]704\text{ ft}^2\approx 78.22\text{ yd}^2[/tex]
Therefore, the required area of the carpet is about 78.22 square yards.
Learn more:
https://brainly.com/question/16239445
