# SOLUTION: 1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimension

Algebra ->  Algebra  -> Rectangles -> SOLUTION: 1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimension      Log On

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 Click here to see ALL problems on Rectangles Question 307737: 1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimensions of the new garden. 2. a 7 x 10 in mirror was put in a frame and hung on the wall, the mirror and frame together cover an area of 130 in squared. How wide is the frame?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!1. the dimensions of a rectangular flower garden were 8 m by 15 m. Each dimension was increased by the same amount. The garden then had an area of 198 m squared. Find the dimensions of the new garden. the dimensions of flower garden length = 15 m width = 8 m . increase each dimension by x m then the dimensions become x+15 x+8 The area of the garden after increase in dimension = 198 m^2 Area = L * W (x+15)(x+8) =198 x(x+8)+15(x+8)=198 x^2+8x+15x+120=198 x^2+23x-78=0 .... (-198+120) x^2+26x-3x-78=0 x(x+26)-3(x+26)=0 (x+26)(x-3)=0 x=-26 OR x=3 x=3 is practical and valid The new length = 15 +3=18 m The new width = 8 +3 = 11 - - 2. a 7 x 10 in mirror was put in a frame and hung on the wall, the mirror and frame together cover an area of 130 in squared. How wide is the frame? length of mirror = 10 width of mirror = 7 Let the width of the border be x Dimensions of frame New length = 10+2x New width = 7+2x (2x+7)(2x+10)=130 in squared 2x(2x+10)+7(2x+10)=130 4x^2 +20x +14x +70=130 4x^2+34x - 60 =0 2x^2+17x-30=0 2x(x+10)-3(x+10)=0 (2x-3)(x+10)=0 x=3/2 OR x= -20.. ( width of border = 3/2 . so increase in width is double) 3 inches is the increase in width frame width = 7+3=10 inches