# SOLUTION: The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x + 2 centimenters. a. find the side lengths of a rectangle. justify your answer b.

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 Click here to see ALL problems on Linear-systems Question 313246: The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x + 2 centimenters. a. find the side lengths of a rectangle. justify your answer b. find the perimeter of the rectangleFound 2 solutions by checkley77, advedantatutor:Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!AREA=LW 24=X(X+) 24=X^2+2X X^2+2X-24=0 (X+6)(X-4)=0 X-4=0 X=4 ANS. PROOF: 24=4(4+2)) 24=4*6 24=24 Answer by advedantatutor(4)   (Show Source): You can put this solution on YOUR website!Length = x Width = x + 2 Length x Width = x x (x + 2) = 24 x^2 + 2x = 24 x^2 + 2x - 24 = 0 ( x - 4) ( x + 6 ) = 0 x = 4 cm Length = 4 cm Width = 4 + 2 = 6 cm Check : 1) 4 + 2 = 6 2) 4 x 6 = 24 Perimeter = 2 ( Length + width ) = 2 ( 4 + 6 ) = 2 ( 10 ) = 20 cm.