Question

Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.

Answer 1

around 10.7 cm

Answer 2

The lengths of the sides of similar rectangles are proportional:

`(l_1)/(w_1)=(l_2)/(w_2) \\ \\ (12)/(9)=(x)/(8) \\ \\ (12)/(9) * 8 = x \\ \\ (96)/(9)= x \\ \\ x \approx 10.7`

The length of the second rectangle is approximately 10.7 cm.