Question

What is the value of m

Answer 1

`x=16(2)/(3)`

Explanation:

Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:

`(m)/(10)=(5)/(3)`

Cross-multiply to get:

`3m=50`

Thus, m =
`(50)/(3)` which is
`16(2)/(3)` .

Hope this helps :)