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)

Question

Responses

24 square centimeters
24 square centimeters

60 square centimeters
60 square centimeters

2.5 square centimeters
2.5 square centimeters

150 square centimeters

Answer 1

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

The original width of the photo is 6 centimeters.
The original height of the photo is 4 centimeters.
The desired length of the postcard is 15 centimeters.

To find the new width of the postcard, we can set up a proportion:

6 cm / 4 cm = x cm / 15 cm
6/4 = x/15
1.5 = x/15
x = 1.5 * 15
x = 22.5 cm

Now that we have the width and length of the postcard, we can calculate the area:

Area = length * width
Area = 15 cm * 22.5 cm
Area = 337.5 square centimeters

Therefore, the area of the postcard will be 337.5 square centimeters.