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)
• 150 square centimeters
• 60 square centimeters
• 2.5 square centimeters
• 24 square centimeters

1 answer

To find the area of the postcard after resizing the photo, we need to calculate the width of the photo after resizing.

Since the width of the original photo is 6 centimeters and the length is 4 centimeters, the original aspect ratio is 6:4, or 1.5:1.

If we want to resize the photo to a length of 15 centimeters while maintaining the aspect ratio, we can calculate the width as follows:

Width after resizing = (15 cm) / 1.5 = 10 cm

Now we can calculate the area of the postcard:

Area = Width * Length
Area = 10 cm * 15 cm
Area = 150 square centimeters

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