The length of a rectangular garden is $12 m$ and its breadth is $5 m$ . Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.

2 \sqrt{30} m

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\sqrt{13} m

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13 m

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8 \sqrt{15} m

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Solution

The correct option is B $2 \sqrt{30} m$
Let the length of the diagonal of the square $= x m$
Then, $\frac{1}{2} \times x \times x = 12 \times 5$
$\Rightarrow x^{2} = 120 m^{2} \Rightarrow x = 2 \sqrt{30} m$ .

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The length of a rectangular garden is 12 m and its breadth is 5 m. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.

The correct option is B 2√30mLet the length of the diagonal of the square =x mThen, 12×x×x=12×5⇒x2=120m2⇒x=2√30m.

The length of a rectangular garden is $12 m$ and its breadth is $5 m$ . Find the length of the diagonal of a square garden having the same area as that of the rectangular garden.

The correct option is B $2 \sqrt{30} m$
Let the length of the diagonal of the square $= x m$
Then, $\frac{1}{2} \times x \times x = 12 \times 5$
$\Rightarrow x^{2} = 120 m^{2} \Rightarrow x = 2 \sqrt{30} m$ .