Question

All the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region, if the area of the big square is 900 square units.
THANK YOU SO MUCH FOR YOUR HELP

Answer 1

Answer:

Step-by-step explanation:

If you have a square of side $l$, its diagonal would be $l\sqrt{2}$, and its area $l^2$

If the big square has a area of 900, this implies that its side is $\sqrt{900}$, so the two diagonal of squares 2 and 4 added together would be $\sqrt{900}$, therefore one diagonal wold be $\frac{\sqrt{900}}{2}$. and its side $\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}$. The area (of one square) is $(\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}$

finally the two areas combined (squares 2 and 4) would be 225