Question

Assume each pair of figures, the second polygon is similar to the first, with the same orientation.

Set up equations to find the lengths of the sides labeled by variables
solve each equation and find the labeled lengths
find any remaining lengths of either figure.

Answer 1

5.

6 / t = 9 / (t+2)

9t = 6t + 12

3t = 12

t = 4 answer

The remaining length:-

6 / 4 = 11 / x

6x = 44 so x = 7.33 answer

6. 8 / w = 6 / (w - 5)

6w = 8w - 40

2w = 40 so w = 20 answer

The side marked w - 5 = 20-5 = 15 answer

8/14 = 20/x giving the top side = 35 answer