My uncle intends to build a kidney-shaped swimming pool in his small yard, and the town zoning board will approve the project only if the total area of the pool does not exceed 540 square feet. The accompanying gure shows a diagram of the planned swimming pool with measurements of its width at the indicated points. 15ft 18ft 2Q : A diagram of the planned swimming pool is given. The horizontal length of the pool is 35 ft. 6 vertical widths are given at points 5 Ft apart. From left to right, the i widths are as follows. 15&,13Ft,3&,7n,16&,2on. Will my uncle's plans be approved? Use a (left) Riemann sum Iwith n = Tn" to approximate the area. The plans be approved because the Riemann sum gives an estimated area of: square feet