A swimming pool at a park measures 9.75 meters by 7.2 meters.a. Find the area of the swimming pool.b. The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground.

Answer:Part a) The area of the swimming pool is [tex]70.2\ m^2[/tex]Part b) The total area of the swimming pool and the playground is [tex]105.3\ m^2[/tex]Step-by-step explanation:Part a) Find the area of the swimming poolwe know thatThe area of the swimming pool is [tex]A=LW[/tex]whereL is the length sideW is the width sidewe have[tex]L=9.75\ m\\W=7.2\ m[/tex]substitute the values[tex]A=(9.75)(7.2)[/tex][tex]A=70.2\ m^2[/tex]thereforeThe area of the swimming pool is [tex]70.2\ m^2[/tex]Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playgroundwe know thatTo obtain the area of the playground multiply the area of the swimming pool by one and a half[tex]\frac{1}{2}(70.2)=35.1\ m^2[/tex]To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playgroundso[tex]70.2\ m^2+35.1\ m^2=105.3\ m^2[/tex]thereforeThe total area of the swimming pool and the playground is [tex]105.3\ m^2[/tex]