There are 4 triangles and the formula for the area of a triangle is 1/2BH so 11x10 is 110 and then take half of that and you’ll get 55. Since there are 4 triangles you need to then multiply that by 4 to get 220. And then you have to find the area of the square base which is 11x11 which will come out to 121. So you add the 220 and 121 to get 341.
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!
