Question

50 points answer quick

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.​

Answer 1

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`