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The area of a bedroom door is $27$ square feet. It is $9$ feet tall. How wide is it? $\newline$ $\_\_\_\_$ feet

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Area and perimeter: word problems

Full solution

Q. The area of a bedroom door is

27

square feet. It is

9

feet tall. How wide is it?

\newline

\_\_\_\_

feet

Define Variables: Let $w$ be the width of the bedroom door. The area of a rectangle (or door in this case) is given by the formula $\text{Area} = \text{height} \times \text{width}$ .
Calculate Area: Area of bedroom door: $27$ square feet $\newline$ Height of bedroom door: $9$ feet $\newline$ Substitute $27$ for Area and $9$ for height in $\text{Area} = \text{height} \times \text{width}$ . $\newline$ $27 = 9 \times w$
Solve for Width: Solve for $w$ . $27 = 9w$ Divide both sides by $9$ to isolate $w$ . $\frac{27}{9} = \frac{9w}{9}$ $3 = w$ Width of the bedroom door: $3$ feet

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