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)
hint*
24 square centimeters
2.5 square centimeters
150 square centimeters
60 square centimeters
To find the area of the resized photo on the postcard, we need to first calculate the width of the resized photo.
Original width: 6 cm
Original length: 4 cm
Desired length of postcard: 15 cm
We can set up a proportion to find the width of the resized photo:
6 cm / 4 cm = x cm / 15 cm
Cross multiplying:
4x = 6 * 15
4x = 90
x = 90 / 4
x = 22.5 cm
Now that we have the width (22.5 cm) and length (15 cm) of the resized photo, we can calculate the area:
Area = width * length
Area = 22.5 cm * 15 cm
Area = 337.5 square cm
Therefore, the area of the postcard will be 337.5 square centimeters.
That is wrong its one of the 4 hints.
I apologize for the mistake. Let's try it again:
The original photo measures 6 cm by 4 cm, with an area of 24 square cm.
To resize the photo to fit the postcard with a length of 15 cm, we need to find the width of the resized photo. We can set up a proportion:
6 cm / 4 cm = x cm / 15 cm
4x = 6 * 15
4x = 90
x = 90 / 4
x = 22.5 cm
Now that we have the width (22.5 cm) and length (15 cm) of the resized photo, we can calculate the area:
Area = width * length
Area = 22.5 cm * 15 cm
Area = 337.5 square cm
Therefore, the area of the postcard will be 337.5 square centimeters.
After reviewing the hints, I see that the closest value to the calculated area (337.5 square centimeters) is 150 square centimeters. So, the answer is 150 square centimeters. Thank you for pointing that out.