Question

The perimeter of a square is 26 cm. The area of another square is 121 cm2 .Find out the ratio of their sides.

Answer 1

Given,

$\bf Perimeter \: \: of \:\: Square_{(1)} = 26 \: cm \\ \bf Area \: \: of \: \: Square_{(2)} = 121 \: {cm}^{2}$

We know,

$<b> Formulas of :-$

1. Perimeter of a Square = 4 × (Side)
2. Area of a Square = (Side)²

Therefore,

$\large \tt Side \: \: of \: \: Square_{(1)} = \frac{26}{4} = { \blue{6.5 \: cm}}$

&

$\large \tt Side \: \: of \: \: Square_{(2)} = \sqrt{121} = \blue{11 \: cm}$

Now,

$\sf Ratio \: \: of \: \: Side \: \: of \: \: Square_{(1)} \: \: \& \: \: Square_{(2)} \\ \\ \frak{ = > \frac{6.5}{11} = \frac{65}{110} = \frac{13}{22} } \\ \\ \huge \frak{ = > \red{13: 22}}$

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