mindy is building a patio that is in a shape of a square. this will cover 56 square yards. find the length of a side of the patio to the nearest tenth of a yard ?
A = s^2
√56 = 7.48 = 7.5 square yards
Well, Mindy is really paving the way to a great patio! To find the length of a side of the patio, we can take the square root of the total area. So let's bring in Mr. Square Root to help us out. *drumroll please*
√56 is approximately 7.5. Therefore, the length of each side of the patio would be approximately 7.5 yards to the nearest tenth. Mindy can start measuring now, without any square business!
To find the length of a side of the square patio, we need to find the square root of the given area.
Let's calculate:
√(56) ≈ 7.5
Therefore, the length of a side of the patio is approximately 7.5 yards when rounded to the nearest tenth.
To find the length of a side of the square patio, you can use the formula for finding the area of a square. The formula for calculating the area of a square is:
Area = side * side
In this case, you know that the area is 56 square yards. Let's assume that the length of the side is "s". Therefore, the equation for the area can be written as:
56 = s * s
To find the length of the side, you need to solve this equation for "s".
One straightforward way to do this is to take the square root of both sides of the equation since the area of a square is the side length squared. Applying the square root to both sides gives:
√56 = √(s * s)
√56 = s
However, we want to find the length of the side to the nearest tenth of a yard. Hence, we will round the answer to one decimal place.
Using a calculator or mathematical software, we can find the square root of 56, which is approximately 7.4833. Rounding it to one decimal place gives us the final answer:
The length of a side of the patio is approximately 7.5 yards.