The figure below are similar. Their rectangles, find the value of x. Skinny triangle has a 2 on top, and a 4 on the side. Bigger rectangle is side ways, it has a 8 on top and a x on the side
since all the sides are magnified by a constant amount, the ratio of corresponding sides must be the same. So,
8/2 = x/4
To find the value of x in the bigger rectangle, we can use the concept of similar figures. Since the smaller skinny triangle and the bigger rectangle are similar, their corresponding sides are proportional.
We can set up a proportion to find the value of x:
2/4 = 8/x
To solve this proportion, we can cross-multiply and then solve for x:
2x = 4 * 8
2x = 32
Dividing both sides of the equation by 2, we find:
x = 16
Therefore, the value of x in the bigger rectangle is 16.