Question

Aflati aria patratului cu laturile de (100-5 radical 8 )

Answer 1

$l = 100 - 5 \sqrt{8}$

$l = 100 - 5 \times 2 \sqrt{2}$

$l = 100 - 10 \sqrt{2}$

$l = 10(10 - \sqrt{2} ) \: cm$

$a = {l}^{2}$

$a = {(100 - 10 \sqrt{2} )}^{2}$

$a = {100}^{2} - 2 \times 100 \times ( - 10 \sqrt{2} ) + \\ + ({10 \sqrt{2}} )^{2}$

$a = 10000 + 2000 \sqrt{2} + 200$

$a = 10200 + 2000 \sqrt{2}$

$a=100(102+20\sqrt{2}) \:{cm}^{2}$