Explanation:
Let's call the width of the rectangle "w".
The length of the rectangle is 7w - 16.
The perimeter of the rectangle is 48, so:
2w + 2(7w - 16) = 48
Expanding the second term:
2w + 14w - 32 = 48
Combining like terms:
16w = 80
Dividing both sides by 16:
w = 5
So the width is 5 inches.
To find the length, use the formula for the length:
7w - 16 = 7 * 5 - 16 = 24 - 16 = 8
The length is 8 inches.
Therefore, the answer is:
B. 8 inches.