Question

There was a king. He had a square-size pond. He had planted trees at all the four corners of the pond. One day he asked the engineer that he wanted to double the area of his pond. But there were two conditions. First, the pond should remain a square and none of the trees at its four corners should get submerged in water. You tell how it is possible.​

Answer 1

Answer:  

should multiply all four sides by $\sqrt{2}$

Step-by-step explanation:

let's assume that square pond has length of $x$ meter

area of that square = $x^{2}$

double the area = $2x^{2}$

to get $2x^{2}$ , you have to multiply all sides by  $\sqrt{2}$

now area of side increased pond = $a$ x  $a$ [ side+ x side

                                                       = $\sqrt{2}x$ x $\sqrt{2}x$  

                                                       = $2x^{2}$

∴should multiply all four sides by $\sqrt{2}$