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To calculate the area of the postcard, we need to first calculate the width of the resized photo while maintaining the original aspect ratio.
Original width = 6 cm
Original height = 4 cm
Resized height = 15 cm
To find the resized width using the original aspect ratio:
Resized width = (Resized height / Original height) x Original width
Resized width = (15 cm / 4 cm) x 6 cm
Resized width = 3.75 x 6
Resized width = 22.5 cm
Now that we have the dimensions of the resized photo:
Resized width = 22.5 cm
Resized height = 15 cm
Calculate the area of the postcard:
Area = Resized width x Resized height
Area = 22.5 cm x 15 cm
Area = 337.5 square centimeters
Therefore, the area of the postcard will be 337.5 square centimeters.