Question

On a scale drawing of a quilt one square is 9 x 9"" this represents one square inch on the scale drawing if the final length of the quilt is 108 inches how many inches is the length of the quilt on the square drawing

Answer 1

x = 12 inches

the length of the quilt on the scale drawing is 12 inches

Explanation:

Given;

Final length of quilt L = 108 inches

1 square inch on the scale drawing represent 9" × 9" of the quilt

So, 1 inch on the scale drawing represent 9 inches of the original length.

The scale is 1 to 9= 1:9

On the scale drawing, let x represent the length of the quilt on the scale drawing;

x : L = 1 : 9

x/L = 1/9

x = (1/9) × L

x = L/9

Substituting the value of L;

x = 108/9

x = 12 inches

the length of the quilt on the scale drawing is 12 inches