The owner of a motel wants to change the size of a meeting room that is currently 20 feet wide and 35 feet long. she plans to add 10 feet to length of the room. which best describes the change to the area of the room? a. the area increases by 200 square feet. b. the area increases by 350 square feet. c. the area increases by 700 square feet. d. the area increases by 900 square feet.

First, let's take note of the room's current area. Recall that the area of a rectangle is equal to the product of its width and length. Given a 20 ft by 35 ft room, we can compute for its area as shown below.

A = W(L) = (20 ft)(35 ft) = 700 ft²

Now, since the length will be increased by 10 ft, its new dimension would be equal to (35 + 10) = 45. Thus, the new area would be

A = W(L) = (20 ft)(45 ft) = 900 ft²

Comparing the two areas, we can see that the area would increase by (900 - 700) = 200 ft². 

A. The area increases by 200 square feet