Harper just bought a rectangular-shaped patio table to put in a rectangular gazebo in her backyard. The gazebo is 20 inches longer than it is wide. The perimeter of the tabletop is equal to the area of the tabletop times . The combined area of the gazebo and tabletop is equal to 12,726 square inches. The perimeter of the gazebo is four times greater than the perimeter of the tabletop. Complete the following sentences. The gazebo is inches wide. The area of the tabletop is square inches. Harper plans on getting a new gazebo that is twice as wide and three times longer than her old one. If she keeps the same table, the new combined area of the gazebo and tabletop will be square inches.