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The perimeter of a rectangular red sticker is $44$ millimeters. It is $19$ millimeters wide. How tall is it? $\newline$ $\newline$ $\_\_\_\_$ millimeters

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Area and perimeter: word problems

Full solution

Q. The perimeter of a rectangular red sticker is

44

millimeters. It is

19

millimeters wide. How tall is it?

\newline

\newline

\_\_\_\_

millimeters

Understand formula for perimeter: Step $1$ : Understand the formula for the perimeter of a rectangle. The formula for the perimeter $P$ of a rectangle is $P = 2(l + w)$ , where $l$ is the length and $w$ is the width.
Substitute given values: Step $2$ : Substitute the given values into the perimeter formula. $\newline$ Given $P = 44\,\text{mm}$ and $w = 19\,\text{mm}$ , $\newline$ $44 = 2(l + 19)$ .
Solve for length: Step $3$ : Solve for $l$ (the length, which in this context is the height of the sticker). $44 = 2(l + 19)$ $22 = l + 19$ (Divide both sides by $2$ ) $l = 22 - 19$ $l = 3$ mm.

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