Length and Area in Scale Drawings Quick Check
3 of 53 of 5 Items
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?(1 point)
Responses
150 square centimeters
150 square centimeters
2.5 square centimeters
2.5 square centimeters
60 square centimeters
60 square centimeters
24 square centimeters
24 square centimeters
The correct answer is 60 square centimeters.
To find the area of the postcard after resizing the photo, we need to determine the scale factor. The original length of the photo was 6 cm and the new length of the postcard is 15 cm, so the scale factor is 15/6 = 2.5.
Next, we need to calculate the new width of the postcard by multiplying the original width of the photo by the scale factor. 4 cm x 2.5 = 10 cm.
Finally, we calculate the area of the postcard by multiplying the new length and width. 15 cm x 10 cm = 150 square centimeters.