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 equation for the area (A) of the rectangular room, follow these steps:
- Define the dimensions of the room:
- Let www be the width of the room.
- The length of the room is w+5w + 5w+5 (5 feet greater than the width).
- Calculate the area:
- The area AAA of a rectangle is given by the formula Length×Width\text{Length} \times \text{Width}Length×Width.
- Here, the area is A=w×(w+5)A = w \times (w + 5)A=w×(w+5).
Answer: D. A = w(w + 5)