A frame is 4.8 inches wide and 1.5 inches tall. If it is enlarged to a width of 9.6 inches, then how tall will it be?
4.8/9.6 = 1.5/x
Cross multiply and solve for x.
To find the height of the enlarged frame, we can set up a proportion using the given information.
Let's assume that the height of the enlarged frame is represented by "x".
According to the given information, the width of the original frame is 4.8 inches and the height is 1.5 inches. The width of the enlarged frame is 9.6 inches (twice the width of the original frame).
Now, let's set up the proportion:
Original Frame: Width/Height = 4.8/1.5
Enlarged Frame: Width/Height = 9.6/x
Using the property of similar figures, we can set these proportions equal to each other:
4.8/1.5 = 9.6/x
To solve for x, we can cross-multiply:
4.8x = 9.6 * 1.5
4.8x = 14.4
Now, divide both sides of the equation by 4.8:
x = 14.4/4.8
x = 3
Therefore, the height of the enlarged frame will be 3 inches.