What is the area of a square with a diagonals of the length of 6?

Area = 18

Step-by-step explanation:

We know that a square has side lengths of s

We can use the Pythagorean theorem to find s

a^2 + b^2 = c^2

We know that the hypotenuse or c = the length of the diagonal or 6

Substituting in what we know

s^2 + s^2 = 6^2

2s^2 = 36

Divide each side by 2

2s^2/2 = 36/2

s^2 = 18

Take the square root of each side

sqrt(s^2) = sqrt(18)

We only have to take the positive square root since it is a length

s = sqrt(9) sqrt(2)

s= 3sqrt(2)

The side length of the square is 3sqrt(2)

To find the area, we multiply the side  by the side or s^2

s^2 =  (3sqrt(2))^2

From above

s^2 = 18

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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