A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?
The original area of the rectangle is calculated by multiplying the length by the width: 5 inches * 8 inches = 40 square inches.
To find the new area after enlarging the picture with a scale factor of 2.5, we need to multiply the original area by the square of the scale factor:
40 square inches * (2.5)^2 = 40 square inches * 6.25 = 250 square inches.
Therefore, the area of the picture after it is enlarged will be 250 square inches.