1. A rectangular rug has a length of 3 ft and width of 1 ft. A similar rug has a length of 9 ft. What is the width of the similar rug?
3 * 3 = 9
1 * 3 = 3 ft
3/9 = 1/W
W = 3 Ft.
To find the width of the similar rug, we can use the concept of ratios.
First, we need to establish a relationship between the length and width of the first rug. We can do this by dividing the length by the width: 3 ft / 1 ft = 3.
Since the second rug is similar to the first rug, the ratio between their lengths will be the same as the ratio between their widths. Therefore, we can set up an equation with the values we know:
3 ft / 1 ft = 9 ft / X ft
Cross-multiplying the equation, we get:
3 ft * X ft = 1 ft * 9 ft
3X = 9
Dividing both sides of the equation by 3, we find:
X = 3
So, the width of the similar rug is 3 ft.