Explain in details the correct solution:
Joy knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket?
What is the square root of 1500?
L*W = 1500.
W = L,
L*L = 1500,
L^2 = 1500,
L = sqrt 1500 =
To find the approximate length of each side of the square blanket, we need to calculate the square root of the area. Let's break down the steps:
Step 1: Recall the formula for finding the area of a square. The area of a square is given by the formula A = s^2, where A represents the area and s represents the length of each side.
Step 2: Substitute the given area, which is 1,500 square inches, into the formula. Thus, we have 1,500 = s^2.
Step 3: Rearrange the equation to isolate s. Take the square root of both sides of the equation to find the value of s. Since we are looking for an approximate length, we can use a calculator or a mathematical approximation technique. It is important to note that when taking the square root, we will obtain two different solutions, a positive and a negative value. In this case, since we are dealing with length, we discard the negative value.
Step 4: Calculate the square root of 1,500 using a calculator or approximation technique. The approximate length of each side of the square blanket is the square root of 1,500. Rounded to two decimal places, the approximate length is approximately 38.73 inches.
Therefore, the approximate length of each side of the square blanket is approximately 38.73 inches.