Question

What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.

(1 point)
there's a 3 in by 3 in by 5 in by 5 in rectangle and a bigger 5.4 in by 5.4 by 9 by 9
rectangle

Answer 1

To find the scale factor used to enlarge the rectangle, you compare the lengths of the sides of the smaller rectangle to the lengths of the sides of the larger rectangle.

The smaller rectangle has dimensions:
- Width: 3 inches
- Height: 5 inches

The larger rectangle has dimensions:
- Width: 5.4 inches
- Height: 9 inches

To find the scale factor for the width:
\[
\text{Scale factor (width)} = \frac{\text{larger width}}{\text{smaller width}} = \frac{5.4}{3} = 1.8
\]

To find the scale factor for the height:
\[
\text{Scale factor (height)} = \frac{\text{larger height}}{\text{smaller height}} = \frac{9}{5} = 1.8
\]

Both the width and height scale factors are the same, indicating that the enlargement is consistent in both dimensions.

The scale factor used to enlarge the rectangle is **1.8**.