Answer :
Final answer:
The width of the rectangle with a perimeter of 120 inches and a length of 37 inches is 23 inches.
Explanation:
The question pertains to the calculation of the width of a rectangle given the perimeter and one of its sides (length). To find the width, we need to understand the formula for the perimeter of a rectangle:
P = 2L + 2W
Where P is the perimeter, L is the length and W is the width. By substituting P with 120 inches and L with 37 inches, the equation becomes:
[tex]120 = 2*37 + 2W[/tex]
This simplifies to:
120 = 74 + 2W
From here, isolate W by subtracting 74 from both sides of the equation:
120 - 74 = 2W
Which simplifies to:
46 = 2W
Lastly, dividing both sides by 2 to finally reveal the width:
W = 46 / 2 = 23 inches
So, the width of the rectangle is 23 inches.
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