Answer:
8 1/2 inches.
Explanation:
We can use the concept of proportions to solve this problem. Let's call the width of the enlarged picture "x".
The original picture has a length of 3 1/4 inches and a width of 2 1/8 inches. The ratio of its length to its width is:
3 1/4 ÷ 2 1/8 =
(13/4) ÷ (17/8) =
13/4 × 8/17 =
104/68 = 26/17
This means that the original picture is 26/17 times as long as it is wide.
We want to enlarge the length to 6 1/2 inches while keeping the same ratio of length to width. Therefore, we can set up the following proportion:
6 1/2 ÷ x = 26/17
To solve for x, we can cross-multiply and simplify:
6 1/2 × 17 = x × 26
(13/2) × 17 = x × 26
221/2 = 13x
x = (221/2) ÷ 13
x = 17/2
Therefore, the width of the enlarged picture will be 17/2 inches, or 8 1/2 inches.