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)
Responses
2.5 square centimeters
2.5 square centimeters
60 square centimeters
60 square centimeters
150 square centimeters
150 square centimeters
24 square centimeters
24 square centimeters
24 square centimeters
To find the area of the postcard, we first need to calculate the width of the postcard using proportions.
6cm (width of photo) is to 4cm (length of photo) as x (width of postcard) is to 15cm (length of postcard).
6/4 = x/15
6 * 15 = 4x
90 = 4x
x = 22.5 cm
Now that we have the width of the postcard as 22.5 cm, we can calculate the area:
Area = width * length
Area = 22.5 cm * 15 cm
Area = 337.5 cm^2
Therefore, the area of the postcard will be 337.5 square centimeters.