The area of a square living room is 256 ft2. Which is the length of the room?
16ft🤔
16
For much of U.S. history, military spending has increased over time. However, during the 1990s, military spending decreased.
The graph shows the annual military spending in the United States between the years 1990 and 1996.
Which statement about the information shown on the graph is true?
To find the length of the room, we need to find the square root of the given area of 256 ft². The square root will give us the length of one side of the square, which is also the length of the room since all sides of a square are equal.
To calculate the square root, you can use the calculator on your computer or phone. Alternatively, you can do it by hand using a method called prime factorization.
Here's how to calculate the square root of 256 using prime factorization:
1. Begin by finding the prime factors of 256. Start with the smallest prime number, which is 2. Divide 256 by 2: 256 ÷ 2 = 128. Repeat this step until you can no longer divide the number evenly by 2.
2. Following step 1, we get: 128 ÷ 2 = 64 ÷ 2 = 32 ÷ 2 = 16 ÷ 2 = 8. We have a non-prime number, 8, left.
3. Now, find the square root of each of the prime factors. In this case, we have two 2's, so the square root is 2 × 2 = 4.
Therefore, the length of the room is 4 feet.