Question

The rectangles in the figure below are similar. Find the value of x

Answer 1

3/x = 5/(x+4)
5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6

answer
C. 6

Answer 2

C. 6

Explanation:

It is given that the rectangles in the figure are similar.

Thus, the corresponding sides of the two rectangles will be equal.

So, we get,

`(3)/(x)=(5)/(x+4)`

i.e.
`3(x+4)=5x`

i.e.
`3x+12=5x`

i.e.
`2x=12`

i.e. x = 6.

Hence, the value of x is 6.