Question

Help ASAP 15 points

Answer 1

Answer:

Step-by-step explanation:

a) Let's $x$ the length of the side of the small square.

Thus,

$x^{2} + (\sqrt{40})^2 = (\sqrt{50})^2$

$x^{2} + 40 = 50$

$x^{2} = 50 - 40$

$x^{2} = 10$

$x = \sqrt{10}$

$x=3.16$

b) Now, the area of the small square is

$A= x^{2}$

$A=(3.16)^2$

$A=9.99$