Ms Mary really liked the carpet she brought for her bedroom and she would like to buy the same carpet for her large library. the floor of her library is similar to the floor of her 9-foot-by-12-foot bedroom. The scale factor from the bedroom to the library is 2.5. How much carpeting does Ms. Mary need for the library?
In terms of square feet, what does 9 * 12 * 2.5 = ?
I hope this helps. Thanks for asking.
To find out how much carpeting Ms. Mary needs for her library, we need to calculate the area of the library's floor. Here's how you can do it:
1. Start by calculating the area of Ms. Mary's bedroom floor. Multiply the length (9 feet) by the width (12 feet). The area of Ms. Mary's bedroom floor is 9 * 12 = 108 square feet.
2. Now, to find the area of the library floor, we'll use the scale factor. The scale factor represents how much the library floor is stretched compared to the bedroom floor. In this case, the scale factor is 2.5.
3. To calculate the area of the library floor, multiply the area of the bedroom floor (108 square feet) by the square of the scale factor. The area of the library floor is 108 * (2.5)^2 = 108 * 6.25 = 675 square feet.
Therefore, Ms. Mary needs 675 square feet of carpeting for her library.