A square of area 36 cm2 is cut out to make two rectangles , A and B The area of area A to area B is 2 : 1 work out the dimensions of rectangles A and B

Answer:Dimensions of:Rectangle A are 6 cm by 4 cm.Rectangles B are 6 cm by 2 cm.Step-by-step explanation:It is given that:The area of square is 36 cm^2.Hence, the side of the square is given as:[tex]Area=(side)^2\\\\36=(side)^2\\\\side=6[/tex]Hence, the side of square is 6 cm.Now, as the area of two rectangles A and B are in the ratio:2:1This means that, the area of rectangle A is 24 cm^2.and area of rectangle B is 12 cm^2.( Since, 36/(2+1)=36/3=12Area of rectangle A=2×12=24 cm^2.Area of rectangle B=1×12=12 cm^2. )Hence, the dimensions of A are:6 cm by 4 cm.and the dimensions of rectangle B are:6 cm by 2 cm.