Question

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

Answer 1

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.