Question

A frame is 20.9 inches tall and 41.8 inches wide. If it is reduced to a width of 3.8 inches, then how tall will it be?

a) 8.1 inches
b) 10.4 inches
c) 3.5 inches
d) 1.2 inches

Answer 1

To find the new height of the frame, set up a proportion between the original width and height and the new width and height. Solve for the new height using cross-multiplication.

Step-by-step explanation:

To find the new height of the frame, we can set up a proportion between the original width and height of the frame and the new width and height. Since the width is reduced to 3.8 inches, we can use the proportion:

(41.8 inches / 20.9 inches) = (3.8 inches / x)

Cross-multiplying, we get:

41.8 inches * x = 20.9 inches * 3.8 inches

Simplifying, we have:

x = (20.9 inches * 3.8 inches) / 41.8 inches

x ≈ 1.89 inches

Therefore, the frame will be approximately 1.89 inches tall.