Question

if the perimeter of a rectangle is 60 ft and its length is 18 ft find its width
use formula to help

Answer 1

To find the width of the rectangle, we can use the formula for the perimeter (P) of a rectangle, which is given by:

\[ P = 2L + 2W \]

where:
- \( P \) is the perimeter,
- \( L \) is the length,
- \( W \) is the width.

Given:
- \( P = 60 \) ft,
- \( L = 18 \) ft.

We can rearrange the perimeter formula to solve for the width \( W \):

\[ 60 = 2(18) + 2W \]

Now, calculate \( 2(18) \):

\[ 2(18) = 36 \]

Substituting back into the perimeter equation:

\[ 60 = 36 + 2W \]

Now, subtract 36 from both sides:

\[ 60 - 36 = 2W \]

Simplifying gives:

\[ 24 = 2W \]

Finally, divide by 2 to find \( W \):

\[ W = \frac{24}{2} = 12 \, \text{ft} \]

Thus, the width of the rectangle is **12 ft**.