Question

FOR EDG. 2020

The square represents a scale model that was created by using a factor of 4.

A square with sides lengths of 8 feet.

Which is true of the measures of the sides of the original square?
Each side of the original square is One-fourth the length of each side of the scale model.
Each side of the original square is 4 times the length of each side of the scale model.
Each side of the original square is the same length as each side of the scale model.
Each side of the original square is 4 feet less than the scale model.

Answer 1

A

Explanation:

Answer 2

Each side of the original square is One-fourth the length of each side of the scale model

Explanation:

Given that the square is a scaled copy of a smaller orginal square that was scaled up using a scale factor of 4, it means that the side length of the original square was multiplied by 4 to get the new side lenght of the scaled copy given in the question, which is 8ft.

Let original lenght be x.

x * 4 = 8 ft

4x = 8

x = 8/4 = 2.

Side lenght of the original square = 2 ft

Side of the original square to side of scale model = 2 ft to 8 ft = 2/8 = ¼.

Therefore, the statement that is true is: "Each side of the original square is One-fourth the length of each side of the scale model".