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. Since the two rectangles are similar, the ratio of the length to the width will be the same.
The ratio of the length to the width in the smaller rectangle is 3.4/5.7.
Let's set up the proportion:
3.4/5.7 = 17/w
To solve for w (the width of the larger rectangle), we can cross multiply:
3.4w = 17 * 5.7
3.4w = 96.9
Now, divide both sides of the equation by 3.4 to isolate w:
w = 96.9 / 3.4
w ≈ 28.5 ft.
Therefore, the width of the larger rectangle is approximately 28.5 ft.