Ok so I think what you need to be solved is to find h? So I am gonna do that
To find h the first thing you need to do is get the variable h all on one side. So subtract 6.5h from the right side and subtract 5 from the left side. It will then look like this:
0.75h = 5.25
Now you need to isolate the variable so you must divide both side by 0.75 to get h by itself. This should now look like:
h = 7
So now you know that h is equal to 7
You can always check to see if the answer is correct by plugging in 7 for h on both sides and seeing if they equal the same amount.
The area of the pentagon is 130.5 inches. The area of a pentagon, if you don’t know, is equal to the perimeter of the pentagon times the apothem, all divided by 2. Because one side of the pentagon has a length of 8.7 inches, and all sides of a pentagon have the same length, then the perimeter would be equivalent to 8.7 times 5, which equals a perimeter of 43.5 inches. Now that our perimeter is found, our equation is set (because the apothem is 6 inches, as said in the problem). Now, to solve, we have to multiply the perimeter (43.5 in.) by the apothem (6 in.), which equals 261 inches. Now, all we have to do is divide it by 2, which will give us our answer of 130.5 inches. Bonus: The answer only reaches out to one decimal point, meaning that there is no need to round!
