The square yard you are mowing has an area of 9600 ft^2. What is the side length of the yard? Round your answer to the nearest tenth of a foot if necessary.
Please solve and explain
√9600 = 97.97 = 98 feet
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Ot tells me to answer, you in a rush
To find the side length of the yard in feet, we need to convert the given area from square feet to square yards. Since 1 yard is equal to 3 feet, 1 square yard is equal to 3 feet multiplied by 3 feet (3 ft * 3 ft = 9 ft^2).
Now, we can convert the area of the yard from square feet to square yards by dividing the given area (9600 ft^2) by the conversion factor of 9 ft^2/1 square yard:
9600 ft^2 ÷ (9 ft^2/1 square yard) = (9600 ÷ 9) square yards
This gives us the area of the yard in square yards, which is:
(9600 ÷ 9) square yards = 1066.67 square yards (rounded to two decimal places)
Since the yard is a square, the side length will be the square root of the area. So, to find the side length in yards, we can take the square root of the area:
√(1066.67 square yards) ≈ 32.68 yards (rounded to two decimal places)
Now, to convert this length to feet, we multiply by the conversion factor of 3 feet/1 yard:
32.68 yards × (3 feet/1 yard) = 98.03 feet (rounded to two decimal places)
The side length of the yard is approximately 98.03 feet (rounded to the nearest tenth of a foot).