Ratio Of Area of Rectangle To Area Of Square Is 1:4, Ratio Of Perimeter Of Rectangle To Perimeter Of Square Is 1:2. If The Length Is 5 cm Then Find The Area Of Square
One side of Rectangle =5, given
Other side of Rectangle = x
Side of Square =y
Area of Rectangle =5*x
Area of Square = y2
5x:y2 =1:4
y2 =20x
Now,
Perimeter Of Rectangle= 2 (5+x)
Perimeter Of Square = 4y
2 (5+x) : 4y=1:2 ,
5+x=y
Squaring both side
25+x2 +10x =y2
25+x2 +10x =20x
x2 -10x+25=0
x=5
y2=20x =20*5 =100
Area = y2 =100
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One side of Rectangle =5, given
Other side of Rectangle = x
Side of Square =y
Area of Rectangle =5*x
Area of Square = y2
5x:y2 =1:4
y2 =20x
Now,
Perimeter Of Rectangle= 2 (5+x)
Perimeter Of Square = 4y
2 (5+x) : 4y=1:2 ,
5+x=y
Squaring both side
25+x2 +10x =y2
25+x2 +10x =20x
x2 -10x+25=0
x=5
y2=20x =20*5 =100
Area = y2 =100