Solve the following problem: Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?(1 point)
Responses
150 square centimeters
150 square centimeters
24 square centimeters
24 square centimeters
60 square centimeters
60 square centimeters
2.5 square centimeters
24 square centimeters
First, find the area of the original photo:
6 cm x 4 cm = 24 square centimeters
Then, find the scale factor needed to resize the photo from 6 cm to 15 cm:
15 cm / 6 cm = 2.5
Now, square the scale factor to find the area of the resized photo:
24 square centimeters x (2.5)^2 = 24 square centimeters x 6.25 = 150 square centimeters
Therefore, the area of the postcard will be 150 square centimeters.