Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

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To find the width of the rectangular run, Shana uses the equation she wrote: 2l + 2w = 62, where "l" represents the length of the run and "w" represents the width of the run.

In this case, Shana has decided that the length of the run is 20 feet, so she can substitute "l" with 20 in the equation: 2(20) + 2w = 62.

To solve for "w," Shana can follow these steps:

Step 1: Simplify the equation by multiplying 2 with 20, which gives 40:
40 + 2w = 62.

Step 2: Subtract 40 from both sides of the equation to isolate 2w on one side:
2w = 62 - 40.

Step 3: Simplify the right side of the equation by subtracting 40 from 62, which gives 22:
2w = 22.

Step 4: Divide both sides of the equation by 2 to solve for "w."
w = 22 / 2.

Step 5: Simplify the right side of the equation by dividing 22 by 2, which yields 11:
w = 11.

Therefore, the width of the rectangular run for Shana's dog is 11 feet.

geez - you have the equation

2(w+20) = 62

just use that to find w