The length of a rectangular patio is 14 feet more than its width, 2w. The area of a patio, A(w), can be represented by the function

4w^2 + 28w.

Step-by-step explanation:

Width of the rectangle= 2w

Length if the rectangle= 2w+14

Area of a rectangle= length×width

= 2w(2w+14)

= 4w^2 + 28w

The area of the rectangular patio A(w) is 4w^2 + 28w.

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )