Question

Mrs. Hussen has two similar recycling bins in her office. The dimensions of the smaller bin can be found by dilating the dimensions of the larger bin by a scale factor of 0.75. The dimensions of the larger bin are 14 inches by 10 inches. What is the length of "x" in inches for the smaller bin?

A) 10.5 in.
B) 13.25 in.
C) 11.5 in.
D) 7.5 in.

Answer 1

To find the length of 'x' for the smaller recycling bin, the larger bin's length of 14 inches is multiplied by the given scale factor of 0.75, resulting in a length of 10.5 inches for the smaller bin.

Step-by-step explanation:

To find the dimensions of the smaller recycling bin, we will use the scale factor given, which is 0.75. The larger bin has dimensions of 14 inches by 10 inches. When we apply the scale factor to the larger bin's length of 14 inches, we get:

x = 14 inches × 0.75

This calculation gives us:

x = 10.5 inches

So, the length of the smaller bin, indicated by 'x', is 10.5 inches.