Question

The two rectangles are similar. What is a correct proportion for corresponding sides?
12/4=x/8

Answer 1

The correct proportion for corresponding sides of similar rectangles given as 12/4 = x/8 is solved by cross multiplication, leading to x = 24.

Step-by-step explanation:

When two rectangles are similar, their corresponding sides have the same ratio. The correct proportion for the corresponding sides given in the question is 12/4 = x/8. To solve for the unknown variable x, cross-multiplication is used. Here's a step-by-step explanation:

1. Set up the proportion, which is 12/4 = x/8.
2. Cross multiply: (12 * 8) = (4 * x).
3. Simplify the equation: 96 = 4x.
4. Divide both sides by 4 to solve for x: x = 96/4.
5. x = 24.

Therefore, the value of x, which represents the corresponding side in the similar rectangle, is 24.