Question

Ana enlarges a photo using a scale factor of 3 to make a poster.The area of the original photo is 15 square inches. What is the area of the enlarged photo?

A.9 square inches
B.45 square inches
C.135 square inches
D.15 square inches

Answer 1

The enlarged photo has an area of 135 square inches since the scale factor of 3 must be squared, resulting in an area scale factor of 9, and then multiplied by the original area of 15 square inches.

Step-by-step explanation:

The question asks about the area of an enlarged photo when using a scale factor. The original photo's area is given as 15 square inches. When a photo is enlarged using a scale factor, both dimensions (length and width) are multiplied by the scale factor to obtain the new dimensions. However, the area changes by the scale factor squared. Since the scale factor is 3, we must square this number (32 = 9) to find the factor by which the area increases. Therefore, the area of the enlarged photo is 15 square inches multiplied by the scale factor squared (9) which equals 135 square inches.

The correct answer is C. 135 square inches.

Answer 2

The area of the enlarged photo is option c. 135 square inches.

Step-by-step explanation:

When the scale factor of 3 is applied to the original area of 15 square inches, the new area of the enlarged photo is calculated by squaring the scale factor (3) and multiplying it by the original area.

Original area = 15 square inches

Scale factor = 3

Enlarged area = (Scale factor)² × Original area

Enlarged area =
`(3)^2`× 15

Enlarged area = 9 × 15

Enlarged area = 135 square inches

Therefore, the area of the enlarged photo is 135 square inches. This calculation is based on the principle that when scaling an object or image by a factor, the area of the scaled object is the square of that factor multiplied by the original area.