Considering the perimeter of the rectangle, it is found that the length of the rectangle is of 22 in and the width is of 16 in.
What is the perimeter of a rectangle?
The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w).
For this problem, the length is 6 in longer than the width, hence:
l = 6 + w.
The perimeter of the rectangle is of 76 in, hence:
P = 76.
Since l = 6 + w:
2(l + w) = 76
l + w = 38
6 + w + w = 38
2w = 32
w = 16.
Then the length is given by:
l = 6 + w = 6 + 16 = 22 in.
The length of the rectangle is of 22 in and the width is of 16 in.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
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