Answer :
Final answer:
The width of the rectangle is 15 inches, and the length is 45 inches as it is three times the width. We found this by implementing the provided relationships into the formula for the perimeter of a rectangle.
Explanation:
The problem is a basic algebraic puzzle related to the geometry of rectangles. We know that a rectangle's perimeter is calculated by the formula 2(length + width), and in this case, this equals 120 inches.
We are also given that the length of the rectangle is three times its width. Therefore, we can define our width as 'w' and our length as '3w'.
So if we implement these into our perimeter formula, we get 2(3w + w) = 120. Simplifying that equation gives 8w = 120. Divide 120 by 8 and we get the width, 'w', as 15 inches. Therefore, the length, being three times the width, comes out to be 45 inches.
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Answer:
Length=45 inches, width=15 inches
Step-by-step explanation:
Length=3w
Width=w
Can be written as 3w+w+3w+w
Combine like terms to get 8w
120/8=15
w=15
Width=15 inches
Length=3(15)=45
Length=45 inches
