# SOLUTION: A rectangular garden is 4m longer than it is wide. If the width is decreased by 1m, and the length is increased by 5m, the area is increased by 15m^2. Find the original dimensions

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A rectangular garden is 4m longer than it is wide. If the width is decreased by 1m, and the length is increased by 5m, the area is increased by 15m^2. Find the original dimensions       Log On

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 Question 437704: A rectangular garden is 4m longer than it is wide. If the width is decreased by 1m, and the length is increased by 5m, the area is increased by 15m^2. Find the original dimensions of the garden.Answer by lwsshak3(7679)   (Show Source): You can put this solution on YOUR website!A rectangular garden is 4m longer than it is wide. If the width is decreased by 1m, and the length is increased by 5m, the area is increased by 15m^2. Find the original dimensions of the garden .. let x=length of original dimension of garden let y=width of original dimension of garden x=y+4 y=x-4 xy=original area of garden .. x+5 = new length y-1 = new width (x+5)(y-1)=new area of garden .. new area-original area=15 m^2 (x+5)(y-1)-xy=15 (x+5)(x-4-1)-x(x-4)=15 (x+5)(x-5)-x^2+4x=15 x^2-25-x^2+4x=15 4x=40 X=10 y=x-4=10-4=6 ans: original length of garden=10 m original width of garden=6 m .. Check: Original area=xy=6*10=60 New area=(x+5)*(y-1)=15*5=75, an increase of 15 m^2