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Applications of Quadratic Equations. GEOMETRY. The top of a coffee table is 3 feet longer than it is wide and has an area of 10 square feet. What are the dimensions of the top of the coffee table?. 5 feet. L = w + 3. Let's draw a picture:. Let width = w. w. 2 feet.
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GEOMETRY The top of a coffee table is 3 feet longer than it is wide and has an area of 10 square feet. What are the dimensions of the top of the coffee table? 5 feet L = w + 3 Let's draw a picture: Let width = w w 2 feet Area = length x width 10 = (w+3)w Solve this by multiplying out and getting everything on one side = 0 and factoring 0 = w2 + 3w - 10 w = -5 or w = 2 L = 2 + 3 = 5 feet 0 = (w+5)(w-2) Since width can't be negative throw out –5 and width is 2 feet w + 5 = 0 or w – 2 = 0