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
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
2.5 square centimeters
2.5 square centimeters
24 square centimeters
24 square centimeters
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To find the area of the postcard after resizing the photo, we need to determine the width of the resized photo maintaining the same aspect ratio.
Given that the original photo is 6 cm x 4 cm, the ratio of the length to the width is 4:6, which simplifies to 2:3.
Since the length of the postcard is 15 cm, the width of the resized photo would be (2/3) x 15 = 10 cm.
Therefore, the area of the postcard would be 15 cm x 10 cm = 150 square centimeters.
Therefore, the correct answer is:
150 square centimeters.