17, In the school's newspaper, the editor wants to reduce photos to fit a certain page. If an original volleyball photo measures 15 cm by 10 cm, which of the following sets of cropped dimensions is in proportion to the original photo? a. 3 cm by 1 cm c. 3 cm by 2 cm d. 2 cm by 3 cm b. b. 2 cm by 1 cm
Answers & Comments
To determine which of the given sets of cropped dimensions is in proportion to the original photo, we need to find the aspect ratio of the original photo and compare it with the aspect ratios of the cropped photos. The aspect ratio is the ratio of the width to the height of the photo.
For the original photo, the aspect ratio is:
Aspect ratio = width/height = 15 cm/10 cm = 1.5
Now let's find the aspect ratios of the cropped photos:
a. 3 cm by 1 cm: Aspect ratio = 3 cm/1 cm = 3
b. 2 cm by 1 cm: Aspect ratio = 2 cm/1 cm = 2
c. 3 cm by 2 cm: Aspect ratio = 3 cm/2 cm = 1.5
d. 2 cm by 3 cm: Aspect ratio = 2 cm/3 cm ≈ 0.67
The only set of cropped dimensions that has the same aspect ratio as the original photo is (c) 3 cm by 2 cm. Therefore, the answer is (c) 3 cm by 2 cm