Question

Toby has a picture frame with a width of 12 inches and a height of 10 inches. Which proportion could be used to calculate the dimensions of a smaller frame with a width of 6 inches, that is similar to the larger one?

A) 12/10 = 6/x
B) 12/6 = 10/x
C) 10/12 = x/6
D) 6/12 = x/10

Answer 1

The proportion that could be used to find the dimensions of a smaller frame with a width of 6 inches, similar to a larger frame with a width of 12 inches, is 12/10 = 6/x.

Step-by-step explanation:

The proportion that could be used to calculate the dimensions of a smaller frame with a width of 6 inches, similar to the larger one with a width of 12 inches, is option A) 12/10 = 6/x. This proportion compares the corresponding measurements of the width of the two frames, where the larger frame's width is 12 inches and the smaller frame's width is 6 inches. By solving this proportion, you can find the value of 'x', which represents the height of the smaller frame.

To solve the proportion, cross-multiply to get 12x = 10 * 6. Then, divide both sides by 12 to isolate 'x' and find that x = 10 * 6 / 12. Therefore, the height of the smaller frame is 10 inches.