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

Solution:

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

According to the given diagram, the two rectangles are similar

According to the principle of similarity, the ratio of corresponding sides should be the same.

So, x/x + 4 = 3/5

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 6

Therefore, the value of x is 6.

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

Summary:

The rectangles in the figure below are similar, the value of x is 6.