Solve the problem.
-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)3 cm
C)4 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 cm². So, (9+x)(9-x) = 72. Simplifying, 81 - x² = 72, x² = 9, x = 3.

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