The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is its width?

Understand the Problem

The question asks us to find the width of a rectangle given its perimeter and length. The perimeter of a rectangle is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. We are given P = 43.8 feet and L = 12.4 feet. We need to solve for W.

Answer

$9.5$ ft

Steps to Solve

Write the formula for the perimeter of a rectangle

The perimeter $P$ of a rectangle is given by the formula $P = 2L + 2W$, where $L$ is the length and $W$ is the width.

Substitute the given values into the formula

We are given that $P = 43.8$ feet and $L = 12.4$ feet. Substitute these values into the formula:

$43.8 = 2(12.4) + 2W$

Simplify the equation

First, multiply 2 by 12.4:

$43.8 = 24.8 + 2W$

Isolate the term with W

Subtract 24.8 from both sides of the equation:

$43.8 - 24.8 = 2W$ $19 = 2W$

Solve for W

Divide both sides of the equation by 2:

$W = \frac{19}{2}$ $W = 9.5$

Therefore, the width of the rectangular garden is 9.5 feet.

5 ft

More Information

The width of the rectangular garden is 9.5 feet.

Tips

A common mistake is to forget to divide by 2 in the last step when solving for $W$. Another mistake is to calculate $2 \times 12.4$ incorrectly.

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