I hope choice must be given so that we can select which equation can be used to find its value.
I am showing the steps for this problem.
Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.
Let's assume y represent the length of the rectangle.
Formula to find the perimeter of a rectangle is,
p= 2 * length + 2 * width.
Hence, we can set up an equation as following.
2 y + 2x = 28.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
Hope this helps you!.
Answer: The answer is 2 × (6 + x) + 2 × x = 28.
Step-by-step explanation: Given that the length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, then we are to find the equation that finds the value of 'x'.
Since width of the rectangle is 'x' inches and length is 6 inches longer than the width, so length will be (6 + x) inches.
Also, perimeter is 28 inches, therefore, we have
[tex]2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.[/tex]
Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.
