Benjamin has enough icing to cover a 12-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing?

Respuesta :

Answer:

       [tex]x^2=6ft^2\\\\x=\sqrt{6ft^2} \\\\x=\sqrt{6}ft[/tex]

Explanation:

The area of each of the 2 equal-sized cakes shall be half of 12 ft²:

  • 12 ft² / 2 = 6 ft²

The area of a square shape is equal to the side length squared. Naming x the side length, you have the expression for the side length:

       [tex]area=x^2\\\\x^2=6ft^2\\\\x=\sqrt{6ft^2} \\\\x=\sqrt{6}ft[/tex]