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The area of the surface of an air hockey table is $40$ square feet. It is $10$ feet long. How wide is it? $\newline$ _____ feet

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Area and perimeter: word problems

Full solution

Q. The area of the surface of an air hockey table is

40

square feet. It is

10

feet long. How wide is it?

\newline

_____ feet

Define Variables: Let $w$ be the width of the air hockey table. $\newline$ We know that the area of a rectangle is given by the formula $\text{Area} = \text{length} \times w$ .
Calculate Area: Area of the air hockey table: $40$ square feet $\newline$ Length of the air hockey table: $10$ feet $\newline$ Substitute $40$ for Area and $10$ for length in $\text{Area} = \text{length} \times \text{width}$ . $\newline$ $40 = 10 \times w$
Substitute Values: $40 = 10w$ $\newline$ What is the width of the air hockey table? $\newline$ $40 = 10w$ $\newline$ $\frac{40}{10} = \frac{10w}{10}$ $\newline$ $4 = w$ $\newline$ Width of the air hockey table: $4$ feet

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