The area of a garden is given by the trinomial g2 – 2g – 24. The garden’s length is g + 4. What is the garden’s width?
(1 point)
Responses
g – 2
g – 2
g – 6
g – 6
g – 8
g – 8
g + 2
g + 2
The area of a rectangle is given by length x width.
So, if the area of the garden is g^2 - 2g - 24 and the length is g + 4, we can set up the equation:
g^2 - 2g - 24 = (g + 4)(width)
Now we need to factor the trinomial on the left side:
(g - 6)(g + 4) = (g + 4)(width)
Therefore, the width of the garden is g - 6.