if the ratio of the areas of two squares is 4: 9 then the ratio of their parameters in same order race
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if the ratio of the areas of two squares is
1). Area of square is
A = S^2 where A denotes area and S denotes side of that square
2). let the two square has area A1 , A2 and Sides S1 , S2 respectively .
given
A1/A2 = 4/9
implies (S1/S2)^2 = 4/9
taking Square root on both sides
S1/S2 = 2/3 let this be equation 1
3). we know Perimeter of Square is
P = 4S
so P1/P2 = 4S1/(4S2) = S1/S2 let this be equation 2
4). from equation 1 and 2 we get
P1/P2 = 2/3
therefore
ratio of the perimeters of given squares in 2:3
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