If the diagonal of a square garden is 20 feet long, what is the perime

Question

If the diagonal of a square garden is 20 feet long, what is the perimeter of the garden?

(A) 10√2 feet
(B) 20√2feet
(C) 40 feet
(D) 40√2 feet
(E) 80 feet

Nitisha03 · Answer

Side of square = Diagonal/\sqrt{2}
 
Side = 20/\sqrt{2} = 10\sqrt{2}
Perimeter = 4 * Side = 40\sqrt{2}

Abhishek009 · Answer

a\sqrt{2}=20

So,  a = \frac{20}{\sqrt{2}}

Or, a = \frac{20\sqrt{2}}{\sqrt{2}*\sqrt{2}}

Or,  a = 10\sqrt{2}

Thus perimeter will be  4*10\sqrt{2}=40\sqrt{2} , Answer will be (D)

SSG12 · Answer

Solution –

The formula for the diagonal of a square is  √2 a   where a = side of the square.
Now,  √2 a = 20

a = \frac{20}{√2}

Perimeter =  4a = 4(\frac{20}{√2})=40√2

Answer D

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