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Marta wants to make a garden that is 4 feet longer than it is wide. Write the equation that Marta should use to determine the width of a garden that has an area of 60 square feet.​

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Let's set up an equation:


60 = (x)(x + 4)

Expand:


(x)(x + 4) = {x}^(2) + 4x


60 = {x}^(2) + 4x

Solve:


{x}^(2) + 4x - 60 = 0


(x + 10)(x - 6) = 0


x = - 10 \: or \: x = 6

Negative lengths cannot exist, so x = 6, meaning that the width must be 6, and the length must be 10.


6 * 10 = 60

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