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Question

Question
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

150 square centimeters
150 square centimeters

24 square centimeters
24 square centimeters

60 square centimeters
60 square centimeters

2.5 square centimeters
2.5 square centimeters
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Answer 1

First, calculate the ratio of the length of the postcard to the length of the print:

\[15 \text{ cm} / 6 \text{ cm} = 2.5\]

Next, square this ratio to find the area ratio:

\[2.5 \times 2.5 = 6.25\]

Finally, multiply the area of the print by this area ratio to find the area of the postcard:

\[6 \text{ cm} \times 4 \text{ cm} \times 6.25 = 150 \text{ square centimeters}\]

Therefore, the area of the postcard will be 150 square centimeters. The correct response is:

150 square centimeters