A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches. What are the dimensions of the original picture?
The answer is 3 inch by 5 inch
To find the dimensions of the original picture, we need to use the concept of scale factor. The scale factor of 3 means that for every 1 unit on the original picture, there are 3 units on the enlarged picture.
Given that the dimensions of the enlarged picture are 9 inches by 15 inches, we can divide these dimensions by the scale factor of 3 to find the dimensions of the original picture.
To find the width of the original picture, divide the width of the enlarged picture (9 inches) by the scale factor (3):
9 inches / 3 = 3 inches
To find the height of the original picture, divide the height of the enlarged picture (15 inches) by the scale factor (3):
15 inches / 3 = 5 inches
So, the dimensions of the original picture are 3 inches by 5 inches.