Question

The perimeter of a rectangle is 36 meters. If the length of the rectangle is 10 meters, what is the width(in meters)?

Answer 1

The formula for the perimeter \( P \) of a rectangle is given by:

\[
P = 2 \times (\text{length} + \text{width})
\]

In this case, we know the perimeter and the length:

- Perimeter \( P = 36 \) meters
- Length \( L = 10 \) meters

We can plug these values into the formula:

\[
36 = 2 \times (10 + \text{width})
\]

Now, simplify the equation:

\[
36 = 20 + 2 \times \text{width}
\]

Subtract 20 from both sides:

\[
36 - 20 = 2 \times \text{width}
\]

\[
16 = 2 \times \text{width}
\]

Now, divide both sides by 2:

\[
\text{width} = \frac{16}{2} = 8 \text{ meters}
\]

Thus, the width of the rectangle is \( 8 \) meters.