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Answer :
Let's denote the rectangle's length as \(L\) and its width as \(W\).
Given that the rectangle's perimeter is 120 centimeters and its length is 40 centimeters, we can use the formula for the perimeter of a rectangle:
\[P = 2L + 2W\]
Plugging in the values:
\[120 = 2 \cdot 40 + 2W\]
Simplify the equation:
\[120 = 80 + 2W\]
Now, isolate \(W\) by subtracting 80 from both sides of the equation:
\[2W = 120 - 80\]
\[2W = 40\]
Finally, divide both sides by 2:
\[W = \frac{40}{2}\]
\[W = 20\]
So, the rectangle's width is 20 centimeters.
Given that the rectangle's perimeter is 120 centimeters and its length is 40 centimeters, we can use the formula for the perimeter of a rectangle:
\[P = 2L + 2W\]
Plugging in the values:
\[120 = 2 \cdot 40 + 2W\]
Simplify the equation:
\[120 = 80 + 2W\]
Now, isolate \(W\) by subtracting 80 from both sides of the equation:
\[2W = 120 - 80\]
\[2W = 40\]
Finally, divide both sides by 2:
\[W = \frac{40}{2}\]
\[W = 20\]
So, the rectangle's width is 20 centimeters.
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Rewritten by : Barada
The rectangle's width is 20 centimeters. The rectangle's dimensions are 40 centimeters in length and 20 centimeters in width, resulting in a perimeter of 120 centimeters
The perimeter of a rectangle is calculated by adding up the lengths of all the sides of rectangle. In this case, the perimeter is given as 120 centimeters, and the length is given as 40 centimeters.
The formula is:
Perimeter = 2 × (Length + Width)
Given that the perimeter is 120 and the length is 40, we can put these values into the formula and solve for the width:
120 = 2 × (40 + w)
120 = 80 + 2w
2w = 120 - 80
2w = 40
w = 20
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