This figure has 2 sides that are (6x+3) yards long, one (7x+3) yards long, and one 5x yards long. To find the perimeter, we can sum these lengths.
2 (6x+3) + (7x+3) + 5x
First, let's distribute 2 into the first set of parentheses.
Now, let's add the above expression. Note that we can write the third linear expression as 5x+0 because adding 0 to an expression does not change its value.
& 12x + 6
& + 7x+3
& + 5x + 0
& 24x + 9
The linear expression in a simplest form for the perimeter of the figure is 24+9. Finally, we want to find the value of the perimeter if x is 7 yards. Let's substitute 7 for x into our linear expression and simplify.
