Use the boxes to answer the question
Box one.
9 in.
5.4 in.
Box two.
9 in.
3 in.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.
The scale factor is calculated by dividing the corresponding side lengths of the enlarged rectangle by the original rectangle.
For the length, the scale factor is given by 9 in. (from box two) divided by 9 in. (from box one) = 1.
For the width, the scale factor is given by 3 in. (from box two) divided by 5.4 in. (from box one) ≈ 0.5556.
Therefore, the scale factor used to enlarge the rectangle in the image is approximately 1 for the length and 0.5556 for the width.
To determine the scale factor used to enlarge the rectangle in the image, we need to compare the corresponding side lengths of the original and enlarged rectangles.
In this case, we have two measurements:
Original Rectangle:
Length = 9 in
Width = 5.4 in
Enlarged Rectangle:
Length = 9 in
Width = 3 in
To find the scale factor, we divide the corresponding side lengths of the enlarged rectangle by the original rectangle:
Scale factor = Enlarged Length / Original Length = 3 in / 9 in = 1/3 = 0.3333 (rounded to four decimal places)
Therefore, the scale factor used to enlarge the rectangle in the image is 0.3333.
To find the scale factor used to enlarge the rectangle, we can compare the corresponding sides.
In the original rectangle, the length is 9 inches, and in the enlarged rectangle, the length is 9 inches.
Therefore, the scale factor for the length is 9/9, which simplifies to 1.
In the original rectangle, the width is 5.4 inches, and in the enlarged rectangle, the width is 3 inches.
Therefore, the scale factor for the width is 3/5.4, which simplifies to approximately 0.56.
Hence, the scale factor used to enlarge the rectangle is approximately 0.56.