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?

Answer 1

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.