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The area of a rectangular price tag is $15 \, \text{square centimeters}$ . It is $3 \, \text{centimeters}$ tall. How wide is it? $\newline$ $\_\_\_\_\_$ centimeters

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Area and perimeter: word problems

Full solution

Q. The area of a rectangular price tag is

15 \, \text{square centimeters}

. It is

3 \, \text{centimeters}

tall. How wide is it?

\newline

\_\_\_\_\_

centimeters

Identify Formula: Step $1$ : Identify the formula for the area of a rectangle. $\newline$ Area of a rectangle is given by the formula $A = \text{length} \times \text{width}$ . $\newline$ Here, let $w$ be the width of the rectangle.
Substitute Values: Step $2$ : Substitute the known values into the area formula. $\newline$ The area $A$ is $15$ square centimeters, and the height (which can be considered as the length here) is $3$ centimeters. $\newline$ $15 = 3 \times w$
Solve for Width: Step $3$ : Solve for $w$ . $\newline$ Divide both sides of the equation by $3$ to isolate $w$ . $\newline$ $\frac{15}{3} = w$ $\newline$ $w = 5$

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