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 to find the width of the run.Which statements are true of the solution? Check all that apply.The value of w is 10 feet. The value of w can be zero.The value of w cannot be a negative number.Substitution is used to replace the variable l with a value of 20.The subtraction property of equality is used to isolate the term with the variable w.
Answer
A
The value of w is 10 feet.
B
The value of w can be zero.
C
The value of w cannot be a negative number.
D
Substitution is used to replace the variable l with a value of 20.
E
The subtraction property of equality is used to isolate the term with the variable w.
Explanation
A rectangle’s perimeter is 2l + 2w = 62. Substitute l = 20 to get 40 + 2w = 62, then subtract 40 from both sides and divide by 2: w = 11 feet. So w is not 10 and cannot be zero; the width also cannot be negative. Substitution replaces l with 20, and subtraction isolates the term containing w.
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