The length of a rectangle is twice its width. the perimeter of the rectangle is 136 feet.

45⅓ = l

22⅔ = w

Step-by-step explanation:

{l = 2w

{136 = 2w + 2l

136 = 2w + 2[2w]

136 = 2w + 4w

136 = 6w

22⅔ = w [Plug this back into both equations to get the length of 45⅓]; 45⅓ = l

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37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3