A rectangle has a length of 3.4 ft. and a width of 5.7 ft. A larger similar rectangle has a length of 17 ft. What is the width of the larger rectangle?(1 poi
To find the width of the larger rectangle, we need to set up a proportion:
(length of larger rectangle) / (width of larger rectangle) = (length of smaller rectangle) / (width of smaller rectangle)
Plugging in the given values, we get:
17 ft / (width of larger rectangle) = 3.4 ft / 5.7 ft
Cross-multiplying, we get:
17 ft * 5.7 ft = 3.4 ft * (width of larger rectangle)
97.8 ft² = 3.4 ft * (width of larger rectangle)
Dividing both sides by 3.4 ft:
width of larger rectangle = 97.8 ft² / 3.4 ft ≈ 28.76 ft
So, the width of the larger rectangle is approximately 28.76 ft.