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)
24 square centimeters
2.5 square centimeters
60 square centimeters
150 square centimeters
24 square centimeters
2.5 square centimeters
60 square centimeters
150 square centimeters
Answers
GPT 3.5
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.
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.