Question

A scale drawing represents 1cm as 24in. Create a new scale drawing where each centimeter represents 16in. Label the length and width of your drawing in centimeters.

A) 1.5cm x 2cm
B) 2cm x 3cm
C) 3cm x 4cm
D) 4cm x 5cm

Answer 1

To create a new scale drawing where each centimeter represents 16 inches, we need to find the scale factor, which is 2/3. The correct answer is B) 2cm x 3cm.

Step-by-step explanation:

To create a new scale drawing where each centimeter represents 16 inches, we need to determine the scale factor.

The original scale is 1cm to 24in. The new scale is 1cm to 16in.

To find the scale factor, we divide the new scale by the original scale: 16in / 24in = 2/3.

So, the scale factor is 2/3. This means that every centimeter in the new scale drawing represents 2/3 of a centimeter in the original scale drawing.

To create the new scale drawing, we can multiply the length and width of the original drawing by the scale factor.

The correct answer is B) 2cm x 3cm.