The length of a rectangle is 6 cm more than the side of a square, and the width of the rectangle is 6 cm less than the side of the square. If the area of the square is 86 cm2. what is the area of the rectangle?

Correct Answer: 50 cm2
Let, side of the square = a a2 = 86 cm2 Length of the rectangle = a + 6 Width of the rectangle = a - 6 Area of rectangle = (a + 6) (a - 6) = a2 - 36 = 86 - 36 = 50 cm2