What is the side length of a square with an area of 40cm squared?Measured with a ruler, this side length is between what 2 consecutive whole cm?
A = s^2
40 = s^2
6.32 = s
Between 6 and 7
To find the side length of a square with an area of 40cm squared, we can use the formula:
Area = Side Length^2
Let's rearrange the formula to solve for the side length:
Side Length = sqrt(Area)
Plugging in the given area of 40cm squared, we get:
Side Length = sqrt(40)
Using a calculator or estimating, we find that the square root of 40 is approximately 6.32.
Since we are looking for the side length measured with a ruler between two consecutive whole cm, we need to round the side length to the nearest whole number.
The side length of the square is approximately 6 cm.
Therefore, the side length of the square measured with a ruler is between 6 cm and 7 cm.
To find the side length of a square with an area of 40 cm², we can use the formula for the area of a square, which is side length multiplied by side length (or side length squared).
So, let's solve the equation:
side length * side length = 40 cm²
We need to find the two consecutive whole numbers between which the side length could lie.
Step 1: Start with the lower whole number. Calculate the square root of 40 to find the approximate side length.
√40 ≈ 6.32 (to two decimal places)
This means that the side length is greater than 6 cm and less than 7 cm.
Step 2: To find the exact side length, we can calculate the square root of 40.
√40 ≈ 6.32455 (to five decimal places)
The side length, rounded to the nearest whole number, is 6 cm.
Therefore, the side length of the square is between 6 cm and 7 cm when measured with a ruler.