Question

Translate the following sentence into a formula:

“The perimeter of a rectangle is equal to 2 times the length plus twice the width”.

Short answer

The formula is $p=2\left(l+w\right)$.

Step-by-step solution

Step 1. Given information.

The given sentence is:

The perimeter of a rectangle is equal to 2 times the length plus twice the width.

Step 2. Write the variable.

Consider the perimeter of the rectangle be p.

Also, assume the length and width of the rectangle be l and w respectively.

Step 3. Write the expression.

The expression for 2 times the length is 2l and the expression for twice the width is 2w.

Then, the expression for 2 times the length plus twice the width is $2l+2w$.

Step 4. Write the formula.

Since the perimeter is equal to $2l+2w$,

Therefore,

$p=2l+2w$

So, the formula for the given sentence becomes:

$\begin{array}{c}p=2l+2w\\ =2\left(l+w\right)\end{array}$