Question

A rectangle has a length of 12 inches and a width of 8 inches. Lexi draws a scale copy of the rectangle using a scale factor of 1/2 . What are the dimensions of the scale copy?

Answer 1

6 inches by 4 inches

Explanation:

You want the dimensions of the scaled copy of a 12 in by 8 in rectangle copied with a scale factor of 1/2.

Scaled drawing

The size of a scaled drawing is the real-world (actual) size, multiplied by the scale factor of the drawing.

Application

A drawing that has a scale factor of 1/2 will have dimensions that are 1/2 those of the original object.

drawing size = (1/2) · (actual size)

drawing length = (1/2) · (actual length) = 1/2 · 12 in = 6 in

drawing width = (1/2) · (actual width) = 1/2 · 8 in = 4 in

The scale copy is 6 inches long and 4 inches wide.