Question

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.

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 1

11 feet long

Explanation:

20+20=40

62-40=22

22÷2=11

check

11+11+20+20=62

Answer 2

62 = 2 l + 2 w
62 = 2(20) + 2 w
62 = 40 + 2 w
22 = 2 w
11 = w

The value of w CAN be zero if the length was 31

The value of w cannot be negative

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 when we subtract 40