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A rectangle has a width of 41 centimeters and a perimeter of 178 centimeters. What is the rectangle's length?

1 Answer

4 votes

Answer:

Length = 48 cm

Explanation:

Given: A rectangle with:

• Width = 41 cm

,

• Perimeter =178 cm.

To find: The length of the rectangle.

The perimeter of a rectangle is calculated using the formula:


Perimeter=2(Length+Width)

Substitute the given values:


178=2(Length+41)

Solve the equation for the length.


\begin{gathered} \text{ Divide both sides by 2} \\ (178)/(2)=(2(Length+41))/(2) \\ 89=Length+41 \\ \text{ Subtract 41 from both sides} \\ 89-41=Length+41-41 \\ Length=48\;cm \end{gathered}

The length of the rectangle is 48 cm.

User Tanmay Mandal
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