Question

The length of a garden is four more than twice its width, w. Which expressions represent the area of the garden? Select all that apply.
1) w(2w + 4)
2) 2w(w + 4)
3) 2w^2 + 8w
4) 4w^2 + 2w
5) 2w^2 + 4w

Answer 1

Answer: the options that apply are

1) w(2w + 4)

5) 2w² + 4w

Step-by-step explanation:

The formula for determining the area of a rectangular garden ins expressed as

Area = length × width

The length of a garden is four more than twice its width, w. The expression for the length would be

Length = 2w + 4

Therefore, the expression that represents the area of the garden would be

w(2w + 4)

Expanding the brackets, it becomes

2w² + 4w