The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=w+(w+5)
B. A=2w+2(w+5)
C. A=5(w+8)
D. A=w(w+5)
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Therefore, the Correct Answer is D.