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The perimeter of a poster is $12$ feet. The poster is $4$ feet tall. How wide is it? $\newline$ _____ feet

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Area and perimeter: word problems

Full solution

Q. The perimeter of a poster is

12

feet. The poster is

4

feet tall. How wide is it?

\newline

_____ feet

Identify Formula: Identify the formula for the perimeter of a rectangle. $\newline$ The formula for the perimeter of a rectangle is $P = 2l + 2w$ , where $P$ is the perimeter, $l$ is the length, and $w$ is the width.
Plug in Values: Plug in the values of $P$ and $l$ into the formula. $\newline$ We know the perimeter $P$ is $12$ feet and the length $l$ (height in this case) is $4$ feet. So we have: $\newline$ $12 = 2(4) + 2w$
Simplify Equation: Simplify the equation by performing the multiplication. $12 = 8 + 2w$
Isolate Term: Isolate the term with $w$ by subtracting $8$ from both sides of the equation. $12 - 8 = 8 - 8 + 2w$ $4 = 2w$
Solve for w: Solve for w by dividing both sides of the equation by $2$ . $\frac{4}{2} = \frac{2w}{2}$ $2 = w$

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