Question

If we want to resize a 1024 x 768 pixels image to one that is 640 pixels wide with the same aspect ratio, what would be the height of the resized image?

(1) 420 pixels
(2) 460 pixels
(3) 480 pixels
(4) 540 pixels

Answer 1

To maintain the same aspect ratio of 4:3 when resizing an image from 1024 x 768 pixels to be 640 pixels wide, the new height is calculated to be 480 pixels, matching option (3).

Step-by-step explanation:

To resize a 1024 x 768 pixels image to one that is 640 pixels wide while maintaining the same aspect ratio, we need to find the corresponding height. The aspect ratio can be preserved by using a simple cross-multiplication. The original width to height ratio is 1024:768, which simplifies to 4:3. If the new width is 640, we must find the new height (let's call it 'h') that keeps this 4:3 ratio:

1024 / 768 = 640 / h

Solving for 'h' gives us:

h = (640 × 768) / 1024

Doing the math:

h = 491520 / 1024

h = 480

Therefore, the height of the resized image would be 480 pixels, which corresponds to option (3).