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?
To find the area of the postcard, we need to find the width of the postcard first.
We know that the original photo has a length of 6 centimeters and a width of 4 centimeters. Since we want to resize it to a length of 15 centimeters, we can set up a proportion to find the corresponding width.
The proportion would be:
6 cm / 4 cm = 15 cm / x cm
Cross-multiplying, we get:
6x = 60
Dividing both sides by 6, we find:
x = 10
So, the width of the postcard will be 10 centimeters.
Now, we can find the area of the postcard by multiplying the length and width:
Area = 15 cm * 10 cm = 150 cm²
Therefore, the area of the postcard will be 150 square centimeters.