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)9 cm
B)4 cm
C)12 cm
D)3 cm

Question

Quizplus · Accepted Answer

The side of the square is √81 = 9 cm. Let x be the amount added and subtracted. The rectangle's dimensions are (9+x) and (9-x), so its area is (9+x)(9-x) = 81 - x^2. The area is 9 cm² less than the square's, so 81 - x^2 = 81 - 9. Solving for x, x^2 = 9, thus x = 3 cm.

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