The length of diagonal of a square whose area is 16900 m 2 isA- 30 mB- 130 -2 mC- 169 mD- 144 m

The correct option is B 130 √(2)m Let the side of square be x m, then x^2=16900 m^2 or x=√(16900) or x =130 m Diagonal BD=√(DC^2+BC^2) =√(130^2+130^2) =130√ ...

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Standard IX

Mathematics

Product Law

The length of...

Question

The length of diagonal of a square whose area is 16900 $m^{2}$ is

30 m

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130 \sqrt{2} m

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169 m

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144 m

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Solution

The correct option is B $130 \sqrt{2} m$

Let the side of square be x m, then $x^{2} = 16900 m^{2}$ or $x = \sqrt{16900}$ or x =130 m
Diagonal $B D = \sqrt{D C^{2} + B C^{2}}$
$= \sqrt{130^{2} + 130^{2}} = 130 \sqrt{2} m$

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The length of diagonal of a square whose area is 16900 m2 is

The correct option is B 130√2m Let the side of square be x m, then x2=16900m2 or x=√16900 or x =130 m Diagonal BD=√DC2+BC2 =√1302+1302=130√2m

The length of diagonal of a square whose area is 16900 $m^{2}$ is

The correct option is B $130 \sqrt{2} m$

Let the side of square be x m, then $x^{2} = 16900 m^{2}$ or $x = \sqrt{16900}$ or x =130 m
Diagonal $B D = \sqrt{D C^{2} + B C^{2}}$
$= \sqrt{130^{2} + 130^{2}} = 130 \sqrt{2} m$