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 point) ft.
To find the width of the larger rectangle, we can set up a proportion with similar sides.
Since the rectangles are similar, the ratio of their corresponding sides will be the same.
The ratio of the length of the smaller rectangle to the length of the larger rectangle is equal to the ratio of the width of the smaller rectangle to the width of the larger rectangle.
Let the width of the larger rectangle be x.
So, we have:
3.4/17 = 5.7/x
Cross-multiplying, we get:
3.4x = 17 * 5.7
Simplifying, we have:
3.4x = 97
Dividing both sides by 3.4, we find:
x = 97/3.4
x ≈ 28.53
Therefore, the width of the larger rectangle is approximately 28.53 ft.