Solve.
-The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 square centimeters less than the area of the square. How much is Added and subtracted?
A)12 cm
B)4 cm
C)3 cm
D)9 cm

Question

Quizplus · Accepted Answer

The side of the square is √81 = 9 cm. Let x be the amount added and subtracted. The new dimensions are (9 + x) and (9 - x), and their product is 81 - 9 = 72. So, (9 + x)(9 - x) = 72. Simplifying gives x^2 = 9, so x = 3.

Solve. -The Area of a Square Is 81 Square Centimeters. If