SOLUTION: A garden is currently 4 meters wide and 7 meters long. If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dime

Question 727088: A garden is currently 4 meters wide and 7 meters long. If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden, rounded to the nearest tenth
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
AREA=LW
AREA=4*7=28 M^2
28*2=(4+X)(7+X)
56=28+11X+X^2
X^2+11X+28-56=0
X^2+11X-28=0

X=(-11+-SQRT(11^2-4*1*-28))/2*1
X=(-11+-SQRT(121+112))/2
X=(-11+-SQRT233)/2
X=(-11+-15.264)/2
X=(-11+15.264)/2
X=4.264/2
X=2.132 ANS. FOR THE SIDE INCREASE.
PROOF:
28*2=(4+2.132)(7+2.132)
56=6.132*9.132
56=56
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