Answer:
Step-by-step explanation:
a) Let's [tex]x[/tex] the length of the side of the small square.
Thus,
[tex]x^{2} + (\sqrt{40})^2 = (\sqrt{50})^2[/tex]
[tex]x^{2} + 40 = 50[/tex]
[tex]x^{2} = 50 - 40[/tex]
[tex]x^{2} = 10[/tex]
[tex]x = \sqrt{10}[/tex]
[tex]x=3.16[/tex]
b) Now, the area of the small square is
[tex]A= x^{2}[/tex]
[tex]A=(3.16)^2[/tex]
[tex]A=9.99[/tex]
