1. Find the area and side length of square ACEG.

Step-by-step explanation:

we are given a square composited in a square

we want to figure out the area of the composited square

to do so we can consider Pythagoras theorem to figure out the area of the composited square remember that, Every single right angle triangle in the given figure is congruent why? see the attachment

recall Pythagoras theorem

let a and b be 6 and 8 thus

substitute:

simplify square:

simplify addition:

square root both sides to get the side length:

hence,

the area and the side length of square ACEG is 100 and 10

reference:

345

step-by-step explanation:

maybe i can