Question

A square purple rug has a red square in the center. The side length of the red square is X inches. The width of the purple band that surrounds the Red Square is 10 inches. What is the area of the purple band?

Answer 1

The area of the orange square rug (including the yellow square) is 10*10=100 square inchesthe area of the orange square rug without the yellow square is 100 minus the area of the yellow squarethe area of the yellow square is x*x=x2therefore the area is (100-x2) square inches