Your Rich Eccentric Friend Has Hired You to Cover His

question 38

Short Answer

Your rich eccentric friend has hired you to cover his back yard with grass and patio stone. If the southwest corner of his yard is taken as the origin, with the x-axis pointing eastward and distances measured in feet, then the boundaries of the yard are the lines x = 0, x = 100, y = 0, and f(x) = 110-0.5x. The border between grass and stone is , with grass covering all of the yard south of the curve. This border also bounds one side of the pool, the other side of the pool being surrounded by the curve . All of the rest of the yard is to be covered by stone. Estimate, to the nearest square yard, the area of the grass.