We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing. We have the area of the swimming pool such as: Area SP = l x w Area SP = 10 * 16 Area SP = 160 feet2 Area of the swimming pool plus the sidewalk with uniform width: Area SP + SW = (10 + x) * (16 + x) 160 + 155 = 160 + 10x + 16x + x2 160 -160 + 155 = 26x + x2 155 = 26 x + x2 x2 + 26x -155= 0 Solving for x, we need to use quadratic formula and the answer is 5 feet.
graph is a sad face, therefore a is negative. so 1 and 3 are out. the c is the y intercept, and the y intercept is at tye positve side. so 4 is the correct one.