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

425

Explanation:

I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.

Hope this helps :)

Answer 2

Explanation:

If you have a square of side
`l`, its diagonal would be
`l√(2)`, and its area
`l^2`

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

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