Question

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

Answer 1

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.

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

The length of the rectangle is 48 cm.