Question

Please help me with this question.​

Answer 1

Answer: a) 110√2 meters

b) 2.42 hectares

Explanation:

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=(220)/(\sqrt2)\\\\\\x=(220)/(\sqrt2)\bigg((\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}}`