Question

The length of a garden is represented by x + 3 and the width is 2x + 5. Which of the following is the area of the garden?

Answer 1

2x+5(x+3)
2x^2 +11x+15

Answer 2

Area = width * length
Area = (2x + 5) (x+3)

Here, let's use the foil method. Google it for visuals to help yourself better understand. The foil method is an acronym for First, Outer, Inner, and Last. First, we multiply the first numbers in both parenthesis. This is 2x and x. Next we multiply the outer numbers, which are 2x and 3. Next goes inner, which is 5 and x. Finally is last, which is 5 and 3. Now we combine to get our final answer.

2 * x = 2x^2
5 * 3 = 15
2 * 3 = 6
5 * x = 5x

We now combine to get 2x^2 + 5x + 21.