A rectangle has a length of 3.4 ft and a width of 5.7 ft.A larger similar triangle has a length of 17 ft.What is the width of the larger triangle
To find the width of the larger triangle, we can set up a ratio using the proportional side lengths of the two similar shapes.
Let x be the width of the larger triangle.
By setting up the ratio of the corresponding side lengths of the two similar shapes, we get:
\( \frac{3.4}{5.7} = \frac{17}{x} \)
Cross multiplying, we have:
\( 3.4x = 5.7 * 17 \)
\( 3.4x = 96.9 \)
Dividing by 3.4 on both sides, we get:
\( x = \frac{96.9}{3.4} \)
\( x = 28.5 \)
Therefore, the width of the larger triangle is 28.5 ft.