Question

Question 3 (1 point)

The two trapezoids shown below are similar. Find the missing side length, x.
6 ft.
X
4 ft.
4 feet
b
3 feet
1
2
С
23 feet
22 feet

Answer 1

The missing side length, x is;

`c. \ 2(1)/(3) \, feet`

Explanation:

The corresponding parallel side lengths of the two trapezoids are;

For the first trapezoid; 3 1/2 ft. and 6 ft.

For the second trapezoid; x and 4 ft.

When two geometric figures are similar, we have that the ratios of their corresponding side are equal and constant

Therefore, for the two similar trapezoids, we can write;

`(x)/(3(1)/(2) \ ft.) = (4 \ ft, )/(6 \ ft.) = (2)/(3)`

Which gives;

`x = (2)/(3) * 3(1)/(2) \, ft. = (2)/(3) * (7)/(2) \, ft. =(7)/(3) \, ft. = 2(1)/(3) \, ft.`

`Therefore, \, x = 2(1)/(3) \, ft.`

The given