Question

A brick walkway forms the diagonal of a square playground. The walkway is 20 m long. To the nearest tenth of a meter, how long is one side of the playground?
@10115658

Answer 1

x is the same length for both sides

Answer 2

what would the formula look like to find x?

Answer 3

a+b=20 squared

Answer 4

since a and b are the same length, you can just replace it with x to get \[2x ^{2}=20^{2}\]

Answer 5

Do you understand that?

Answer 6

kind of.

Answer 7

Do you understand where i got the 2 from?

Answer 8

yeah

Answer 9

ok, so now we have to solve for x

Answer 10

20^2 becomes 400

Answer 11

yup

Answer 12

divide both sides of the equation by 2

Answer 13

2x squared =200

Answer 14

the 2 on the left side of the equation should cancel

Answer 15

\[x ^{2}=200\]

Answer 16

does 200 make sense?

Answer 17

ohh yeah I just forgot to cancel but I know where 200 came from

Answer 18

thats not the answer

Answer 19

how do you solve for x\[x ^{2}=200\]

Answer 20

x=10√2,
x≈14.14213562

Answer 21

yep, that's the answer

Answer 22

thanks