Question

ALGEBRA 1 Help PLEASEE

Answer 1

Let's use the variable w to represent the width of the rectangle.

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

`\text{A = length x width}`

`27 = (w + 6) * w`

Now we can solve for w after using the distributive property and factoring:

`27= (w + 6) * w`

`27 = w^2 + 6w`

`0 = w^2 + 6w - 27`

This factors to:

`0 = (w + 9) \ (w -3)`

`w = 9` OR
`w = 3`

So the length is 9 meters and the width is 3 meters.