4(b - 6) + 19 # Starting equation
4b - 24 + 19 # Using the distributive property
4b - 5 # Simplified expression
12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle
5(y - 4) = (5 * y) - (5 * 4) = 5y - 20
One formula for the surface area (S) of a prism is
S = 2(LW + H(L+W))
Filling in the given values, you have
S = 2((8 cm)·(6 cm) + (24 cm)·(8 cm + 6 cm))
= 2(48 cm² + (24 cm)·(14 cm))
= 2·384 cm²
= 768 cm²
The surface area is 768 cm².
