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60 square centimeters
To find the area of the postcard after resizing the photo, first calculate the original area of the photo.
Original area = 6 cm * 4 cm = 24 square centimeters
Then, divide the area of the postcard by the original area of the photo to determine the resizing factor:
Resizing factor = 15 cm / 6 cm = 2.5
Finally, multiply the original area by the resizing factor to find the area of the postcard:
Area of postcard = 24 square centimeters * 2.5 = 60 square centimeters
Therefore, the area of the postcard will be 60 square centimeters.