SOLUTION: the ratio of the area of a square to that of a rectangle is 1:6 .the rectangle has a length of 60cm and a width of 40 cm .find the perimeter of the square

Algebra ->  Rectangles -> SOLUTION: the ratio of the area of a square to that of a rectangle is 1:6 .the rectangle has a length of 60cm and a width of 40 cm .find the perimeter of the square       Log On


   

Question 446193: the ratio of the area of a square to that of a rectangle is 1:6 .the rectangle has a length of 60cm and a width of 40 cm .find the perimeter of the square
Answer by chriswen(106) About Me  (Show Source):
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The rectangle has a length of 60 cm and a width of 40 cm.
A=l*w
A=60*40
A=2400
The ratio of the area of the square to the rectangle is 1:6.
So the area of the square is 400 (2400/6).
The are of a square is s^2.
A=s^2
400=s^2
s=sqrt%28400%29
s=20
One side of the square is 20 cm.
P=4s
P=4(20)
P=80
Therefore, the perimeter of the square is 80 cm.