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?

Question

(1 point)
Responses

g – 2
g – 2

g – 6
g – 6

g – 8
g – 8

g + 2
g + 2

Answer 1

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.