the perimeter of rectangle back yard is 6x+6 yards if the width is x yards find a binominal that represents the length.
2l + 2x = 6x + 6
l + x = 3x + 3
l = 2x + 3
To find a binomial that represents the length of the rectangle, we need to use the given information about the perimeter and the width.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
Given that the perimeter of the rectangle is 6x + 6 yards, and the width is x yards, we can substitute these values into the formula to obtain:
6x + 6 = 2 * (length + x)
Now we need to isolate the length variable. First, we can divide the entire equation by 2 to simplify it:
(6x + 6) / 2 = length + x
Simplifying further:
3x + 3 = length + x
Next, we can rearrange the equation to isolate the length variable. Subtracting x from both sides of the equation, we have:
3x - x + 3 = length
We can combine like terms:
2x + 3 = length
Therefore, the binomial that represents the length of the rectangle is 2x + 3.