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?
28 = 2(x + 6) + 2x
thanx ms.sue :)
You're welcome.
the length of a rectangle is 6 inches more thanits width the perimeter is 30 inches find the width
To find the equation that represents the width of the rectangle, we can use the information given in the problem. Let's break down the problem into smaller steps:
Step 1: Let's assume that x represents the width of the rectangle.
Step 2: According to the problem, the length of the rectangle is 6 inches longer than its width. So, the length can be represented as x + 6.
Step 3: The perimeter of a rectangle is given by the sum of all four sides. In this case, the perimeter is 28 inches. So, we can write the equation as:
Perimeter = 2(Length + Width)
Substituting the variables, we have:
28 = 2(x + x + 6)
Simplifying further:
28 = 2(2x + 6)
Now, we can distribute the 2 on the right side:
28 = 4x + 12
Finally, subtracting 12 from both sides:
16 = 4x
Thus, the equation that can be used to find the value of x, the width of the rectangle, is:
4x = 16