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?

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?

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?

Answer 1

To find the area of a postcard, we need to multiply its length by its width. Since Natalia wants to resize the photo to fit the postcard's length of 15 centimeters, we need to determine the corresponding width.

Given that the photo measures 6 centimeters by 4 centimeters, we can set up the following proportional relationship:

6 cm / 4 cm = 15 cm / x cm

To find x, the width of the postcard, we can cross-multiply and solve for x:

6 cm * x cm = 4 cm * 15 cm

6x = 60

Dividing both sides of the equation by 6, we have:

x = 60 / 6 = 10 cm

So, the width of the postcard will be 10 centimeters.

Now, we can calculate the area of the postcard:

Area = length * width = 15 cm * 10 cm = 150 cm²

Therefore, the area of the postcard will be 150 square centimeters.