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)
24 square centimeters
2.5 square centimeters
60 square centimeters
150 square centimeters
The original photo measures 6 cm by 4 cm, so the area of the original photo is 6 cm x 4 cm = 24 square centimeters.
The postcard will have a length of 15 cm and the width needs to be proportional to the original photo.
Let x be the width of the postcard. The proportion is 6 cm:4 cm = 15 cm:x
6/4 = 15/x
6x = 60
x = 10
So, the width of the postcard is 10 cm.
Now, the area of the postcard is 15 cm x 10 cm = 150 square centimeters.
Therefore, the correct answer is the fourth option: 150 square centimeters.