Ahomeowner wants to carpet three rooms that measure 12 feet by 12 feet, 10 feet by 14 feet, and 21 feet by 20 feet. how many square yards of carpet should be ordered?

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:

Where, is length and is width.

Using the above formula, the respective areas of three carpets are:

Total area is:

We know that,

Now, we have 1 square feet is equal to square yard. So,

Therefore, the required area of the carpet is about 78.22 square yards.

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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.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680