Abhi077
The length of the edging which surrounds garden A which is in the shape of an equilateral triangle, that which surrounds the rectangular garden B, and that which surrounds the circular garden C are the same. What is the ratio of the length and the width of B? (Assume p = 3.14)
(1) The radius of C equals one of the dimensions of B.
(2) The side of A equals 3/p times one of the dimensions of B.
What the question statement means is - The circumference of circle and perimeter of triangle and rectangle is same.
So \(2\pi r = 3a =2( l+b)\)
(1) The radius of C equals one of the dimensions of B.
so r is equal to l or w. Generally the larger is length and smaller the breadth/width.
\(2\pi r = 2(l+b)........\pi * b = l+b........3.14b-b=l.......2.14b=l........\frac{l}{b}=2.14\)
Suff
(2) The side of A equals 3/p times one of the dimensions of B
\( 3a = 2(l+b)............3*\frac{3}{3.14}l=2(l+b)...........3*\frac{3}{2*3.14}l-l=b.........(\frac{9}{6.28}-1)*l=b...........\frac{2.72}{6.28}=\frac{b}{l}..........\frac{l}{b}=\frac{6.28}{2.72}=2.3\)
Suff
D
You can avoid calculations the moment you know that you are getting a value of l/b