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)
AAAaannndd the bot gets it wrong yet again!
x/5.7 = 17/3.4
x = 28.5
To find the width of the larger rectangle, we can use the concept of similarity between the two rectangles. When two rectangles are similar, their corresponding sides are proportional.
In this case, the length of the larger rectangle is 17 ft, while the length of the smaller rectangle is 3.4 ft. We can set up a proportion to find the width of the larger rectangle:
(Length of larger rectangle) / (Length of smaller rectangle) = (Width of larger rectangle) / (Width of smaller rectangle)
Plugging in the given values, we have:
17 ft / 3.4 ft = (Width of larger rectangle) / 5.7 ft
Now, we can solve for the unknown value, which is the width of the larger rectangle:
(17 ft × 5.7 ft) / 3.4 ft = Width of larger rectangle
Evaluating the right side of the equation:
(96.9 ft^2) / 3.4 ft = Width of larger rectangle
Now, we can simplify and find the width of the larger rectangle:
28.5 ft = Width of larger rectangle
Therefore, the width of the larger rectangle is 28.5 ft.