Question

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, which equation can be used to find its value?

Answer 1

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 2

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

$2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.$

Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.