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)
To determine the width of the larger rectangle, we can set up a proportion using the given lengths of the two rectangles.
Let x be the width of the larger rectangle.
We can set up the following proportion:
3.4 ft / 5.7 ft = 17 ft / x
Now, we can cross multiply to solve for x:
3.4 ft * x = 5.7 ft * 17 ft
3.4x = 96.9 ft^2
Next, we can divide both sides of the equation by 3.4 ft to isolate the x variable:
x = 96.9 ft^2 / 3.4 ft
x ≈ 28.5 ft
Therefore, the width of the larger rectangle is approximately 28.5 ft.