Solve the following problem: Natalia prints a photo of a covered edge. 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 first need to find the width of the postcard using the given information.
Since the original photo measures 6 cm by 4 cm, the ratio of length to width is 6:4, which simplifies to 3:2. This means that the width of the photo is 2 cm.
Now, we need to resize the photo to fit on a postcard with a length of 15 cm. The new width of the postcard can be found by setting up a proportion:
(Width of postcard) / (Length of postcard) = (Width of photo) / (Length of photo)
Let x be the width of the postcard:
x / 15 = 2 / 6
x = (15 * 2) / 6
x = 5 cm
Therefore, the area of the postcard is:
15 cm (length) * 5 cm (width) = 75 cm²
The area of the postcard will be 75 square centimeters.