a rectangle has length 9 times its width. the ratio of its perimeter to the perimeter of the square of same area is
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let width be x
so,length is 9x
area of rectangle is 9x*x=9x^2.
area of rectangle= area of square
9x^2=(side)^2
so,side is 3x.
so perimeter of rectangle=2(9x+x)=20x
perimeter of square=4(3x)=12x
So,ratio of perimeter of rectangle to perimeter of square=20x/12x=5:3
so,length is 9x
area of rectangle is 9x*x=9x^2.
area of rectangle= area of square
9x^2=(side)^2
so,side is 3x.
so perimeter of rectangle=2(9x+x)=20x
perimeter of square=4(3x)=12x
So,ratio of perimeter of rectangle to perimeter of square=20x/12x=5:3
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2
Answer:
5:3
Step-by-step explanation:
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