Find the center of mass of a thin plate covering the region between the x-axis and the curve y = 20/x^2, 5\leq x\leq 8 , if the plate's desity at a point (x, y) is (x) = 2x^2

Jack has a rectangular piece of land, the area of which is represented by a1 = 9.5l. his brother has a different rectangular piece of land, the area of which is represented by a2 = l(14 − l). let a represent the area in square meters and l represent the length in meters of the pieces of land. the two equations plotted on a graph meet at a point as shown in the image