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A rectangle is 30 cm long and 20 cm wide a rectangular strip added to one side and another of the same width to the other side resuts in the doubling of the area find width of the strip?
Wiki User
∙ 10y ago
Length=30 cm Width=20cm Original Area= ??
Original Area = (Length)(Width)
Original Area = (30cm)(20cm)
Original Area = (600sq.cm)
New Area = 2(Original Area)
New Area = 2(600sq.cm)
New Area = 1200sq.cm
Let X = Extra Width
New Area = (X+L)(X+W)
1200= (X+30)(X+20)
1200= X^2+50X+600
0=X^2+50X+600-1200
X^2+50X-600=0
(X+60)(X-10)=0
X+60=0
X= -60cm
(60cm is negative so this is not the width what were looking for because it's impossible to have a negative distance)
X-10=0
X= 10cm
(10 cm is positive so this is the width what were looking for)
Checking:
New Area = (X+L)(X+W)
1200 = (10+30)(10+20)
1200 = (40)(30)
1200 = 1200
Wiki User
∙ 10y ago
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