SOLUTION: When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed.The perimeter of the rectangle is 3 times the perimeter of the

Question 999043: When one side of the square is increased by 4 meters and the adjacent side is multiplied by 4, a rectangle is formed.The perimeter of the rectangle is 3 times the perimeter of the original square. Find the length of one side of the square.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
X=original side of square
X+4=new width of rectangle; 4X=new length of rectangle
Original perimeter of square=4X
Perimeter of rectangle=3(4X)=12X
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Perimeter of rectangle=2(new length x new width)
12X=2(4X + X + 4m)
6X=5X + 4m
X=4m
ANSWER: The length of the side of the original square was 4 meters
.
CHECK:
P=2(L+W)
12X=2(4X + X + 4m)
12(4m)=2(4(4m)+4m+4m)
48m=2(16m+8m)
48m=2(24m)
48m=48m
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