What is the surface area of this design?

  256 in²

Step-by-step explanation:

There are numerous ways to find the total area of this figure. One of them is to add up the individual areas of the 8 surfaces.

Another is to add the areas of the 5" wide surfaces (their total length is 32 inches, the same as the perimeter of the L-shaped face), and the areas of the L-shaped surfaces (equivalent to an 8×12 rectangle when one is fit upside down on the other).

Using this second method, we get an area of ...

  (5 in)×(32 in) + (8 in)×(12 in) = 160 in² +96 in² = 256 in²

He scored 14 points in the second quarter.

Step-by-step explanation:

x = first quarter, y = second quarter

x + y = 34

y = 0.5(x) + 4

Therefore,

   x + [0.5(x) + 4] = 34

or           1.5x + 4 = 34

or                 1.5x = 30

or                     x = 20

So,

   20 + y = 34

or         y = 14