A rectangle is 20cm long and 10cm wide.A rectangular strip added to one side and another of the same width to the other side results in the doubling of the area Find the width of the strip...
Kailangan ko po ng step by step solution..paki sagot po... salamat
Share
QUESTION
======
A rectangle is 20cm long and 10cm wide.A rectangular strip added to one side and another of the same width to the other side results in the doubling of the area Find the width of the strip?
ANSWER
======
Length=30 cm Width=20cm Original Area= N
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
#CarryOnLearning