A square measure 9 feet on a side. If each side of the square is increased by 3 feet, how many square feet are added to the area?
What are the steps in solving this math equation?
find the area of the original square .....
your new square will be 12 by 12
find that new area.
by how much has the area increased ?
It doesn't say much about the area.
12x12 =144 would be the news area?
it asked "how many square feet are added to the area"
square feet are the units for area !
Well, it seems like you've stumbled upon a math question, and I'm here to help! So, let's tackle this puzzle step by step, shall we?
Step 1: Determine the original area of the square.
To calculate the area of a square, we multiply the length of one side by itself. In this case, the square measures 9 feet on each side, so its original area is 9 feet multiplied by 9 feet, which gives us 81 square feet.
Step 2: Increase each side of the square by 3 feet.
If you add 3 feet to each side of the square, you increase the dimensions of the square to 12 feet by 12 feet.
Step 3: Find the new area of the square.
To calculate the new area, just like before, we multiply the length of one side by itself. In this case, the new area is 12 feet multiplied by 12 feet, which equals 144 square feet.
Step 4: Calculate the difference in area.
To find out how many square feet are added to the area, we subtract the original area from the new area. In this case, we subtract 81 square feet from 144 square feet, which tells us that 63 square feet have been added.
And voila! The result? By increasing each side of the square by 3 feet, we have added 63 square feet to the area. I hope that helps, and if you have any more math questions or need a good joke, feel free to ask!
To solve this math equation, you need to follow these steps:
Step 1: Find the area of the original square.
The area of a square is determined by squaring the length of one of its sides. In this case, the side length is 9 feet, so the area of the original square is 9^2 = 81 square feet.
Step 2: Find the area of the larger square.
Since each side of the original square is increased by 3 feet, the side length of the larger square will be 9 + 3 = 12 feet. Therefore, the area of the larger square is 12^2 = 144 square feet.
Step 3: Calculate the difference in areas.
To find how many square feet are added to the area, subtract the area of the original square from the area of the larger square: 144 - 81 = 63 square feet.
Therefore, the answer is that 63 square feet are added to the area when each side of the square is increased by 3 feet.