A carpenter's square of uniform density has the shape of an L, as shown in the figure. Assume: A (x, y) coordinate frame with the origin at the lower...

A carpenter's square of uniform density hasthe shape of an L, as shown in the figure.Assume: A (x, y) coordinate frame withthe origin at the lower left corner of the car-penter's square. The x-axis is horizontal andto the right. The y-axis is vertically upward.Given: In the figure, B = 13 cm, C =3.2 cm, D = 3.1 cm, E = 18 cm.Because the square is uniform in thicknessand has a small thickness, we can assume thatthe weight of each segment of the square isproportional to its area.What is the x-coordinate of the center ofgravity?Answer in units of cm.What is the y-coordinate of the center of grav-ity?Answer in units of cm.