A kitchen measures 3.75 meters by 4.2 meters.a. Find the area of the kitchen.b. The area of the living room is one and a half times that of the kitchen. Find the total area of the living room and the kitchen.

Answer: a. [tex]A_{(kitchen)}=15.75\ m^2[/tex] b. [tex]A_{(total)}=39.375\ m^2[/tex] Step-by-step explanation: The formula for calculate the area of a rectangle is: [tex]A=lw[/tex] Where "l" is the lenght and "w" is the width a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that: [tex]l=3.75\ m\\\\w=4.2\ m[/tex] Therefore, substituting these values into the formula, we get that the area of the kitchen is: [tex]A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2[/tex] b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is: [tex]A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2[/tex] Therefore, the total of the living room and the kitchen is: [tex]A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2[/tex]