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

Answer:

C. 6

Step-by-step 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,

$\frac{3}{x}=\frac{5}{x+4}$

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.