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
2.5 square centimeters
2.5 square centimeters
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
24 square centimeters
To find the area of the postcard, we need to calculate the area of the resized photo.
The original photo measures 6 centimeters by 4 centimeters, so its area is 6 * 4 = 24 square centimeters.
Now, we need to find the scale factor to resize the photo. The length of the postcard is 15 centimeters, and the original length of the photo is 6 centimeters.
Scale factor = Length of postcard / Original length of photo = 15 / 6 = 2.5
To resize the photo, we multiply its dimensions by the scale factor:
New length = 6 * 2.5 = 15 centimeters
New width = 4 * 2.5 = 10 centimeters
Therefore, the area of the resized photo, which is the area of the postcard, is 15 * 10 = 150 square centimeters.
So, the correct answer is 150 square centimeters.