SOLUTION: The large square has a Side length Of 8cm. What is the area of the smaller square?https://media.discordapp.net/attachments/742028999940767776/838937444891230248/unknown.png

Algebra ->  Surface-area -> SOLUTION: The large square has a Side length Of 8cm. What is the area of the smaller square?https://media.discordapp.net/attachments/742028999940767776/838937444891230248/unknown.png      Log On


   

Question 1179698: The large square has a Side length Of
8cm. What is the area of the smaller
square?https://media.discordapp.net/attachments/742028999940767776/838937444891230248/unknown.png
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The large square has a side length of :
a=8cm
What is the area of the smaller square?
if the side of the smaller square is b
A=b%5E2
smaller square is insciebed in a circle whose diameterd is same length as a side a of the large square, and the diagonal d%5B1%5D of the smaller square
so, a=d=d%5B1%5D=8cm
use Pythagorean theorem to calculate b
d%5B1%5D%5E2=b%5E2%2Bb%5E2
%288cm%29%5E2=2b%5E2
64cm%5E2=2b%5E2
b%5E2=64cm%5E2%2F2
b%5E2=32cm%5E2....we can stop here, because
it is the area:
A=32cm%5E2+