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 to the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?

Answer 1

To solve this problem, we need to use proportions. We know that the length of the original print is 6 centimeters and the length of the postcard is 15 centimeters. We can set up a proportion:

6 cm / 4 cm = 15 cm / x

where x is the width of the postcard. To solve for x, we can cross-multiply and simplify:

6 cm * x = 4 cm * 15 cm
6x = 60 cm
x = 10 cm

So the width of the postcard is 10 centimeters. The area of the postcard is:

15 cm * 10 cm = 150 square centimeters.

Therefore, the area of the postcard is 150 square centimeters.