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maksim [4K]
3 years ago
7

Please help me with this question.​

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:  a) 110√2 meters

                b) 2.42 hectares

<u>Step-by-step explanation:</u>

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}

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