2) The perimeter of a rectangle is 52 feet. The length and width are represented by
two consecutive even integers. Find the
dimensions of the rectangle .

12 feet and 14 feet

Step-by-step explanation:

Let a and b be the length and width of a rectangle

a and b are consecutive even integers

a=x, b=x+2

perimeter=52

2*(a+b)=52

2*(x+x+2)=52

2x+2=26

2x=24

x=12

a=12

b=x+2=14

dimensions of the rectangle are 12 ft by 14 ft

Step-by-step explanation:

Let's name our unknowns :

width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).

Then the perimeter (addition of all four sides of the rectangle) will be the sum:

x + (x + 2) + x + (x + 2) = 52

combining like terms:

4 x + 4 = 52

subtracting 4 on both sides

4 x  = 52 - 4

4 x = 48

x = 48 / 4

x = 12

so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet

Then the dimensions of the rectangle are 12 ft by 14 ft.

the answer to this question is in the pic

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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