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 solve this problem, we need to calculate the area of the postcard.
Given that the length of the postcard is 15 centimeters and the width of the photo is 6 centimeters, we can calculate the width of the postcard by using proportional reasoning.
The proportion we can set up is:
Width of photo / Width of postcard = Length of photo / Length of postcard
6 / x = 4 / 15
Cross multiplying, we get:
4x = 6 * 15
4x = 90
Dividing both sides by 4, we find:
x = 22.5
So, the width of the postcard is 22.5 centimeters.
To find the area of the postcard, we multiply the length (15 cm) by the width (22.5 cm):
Area = 15 cm * 22.5 cm
Area = 337.5 square centimeters
Therefore, the area of the postcard is 337.5 square centimeters.