2. (15 pts) An architect is drawing plans for the Smith's new house. When reviewing the plans, Mr Smith would like to increase the width of the dining room by 1 foot and increase the length by 2 feet. This will result in the area of the room increasing by 30 square feet. Mrs Smith would like to increase the width of the dining room by 2 feet and decrease the length by 3 feet, which will result in the area being decreased by 6 square feet. What are the original dimensions of the room? (Hint: Try creating equations (new length) (new width)=original area + change)