Carly wants to find the area of a rectangle with a length that is $3$ units longer than $2$ times its width. If the width is represented by $w$ , which equation represents the area, $A$ ?

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Solution

Compute the equation of area:
Let the width of the rectangle be $w$
So, if the length is $3$ units longer than $2$ times its width then the length $= 3 + 2 w$
Then area of the rectangle = $A = l \times w$ , where $l$ is length and $w$ is width
Substitute $3 + 2 w$ for $l$ and $w$ for $w$ in $A = l \times w$ , we get
$A = (3 + 2 w) \times w ∴ A = 3 w + 2 w^{2}$
Hence, the expression that represents the area of rectangle is $2 w^{2} + 3 w$ square units.

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Carly wants to find the area of a rectangle with a length that is 3 units longer than 2 times its width. If the width is represented by w, which equation represents the area, A?

Carly wants to find the area of a rectangle with a length that is $3$ units longer than $2$ times its width. If the width is represented by $w$ , which equation represents the area, $A$ ?