Question

If these two shapes are similar, what is the measure of the missing length d?

inches
24 in
6 in
9 in
d

Answer 1

Explanation:

Similar shapes have proportional sides.

Make a ratio and solve for d.

`(6)/(9)` =
`(24)/(d)`

cross mulitply then divide

9 × 24 = 6d

216 = 6d

216/6 = 6d/6

36 = d

Answer 2

d = 36

Explanation:

9/6 = d/24

6d = (9)(24)

d = 216/6 = 36