## Thinking Mathematically (6th Edition)

$A = 192$ square inches
The area of the figure is equal to the sum of the areas of the triangle (the "roof" of the figure) and the square underneath it. RECALL: (1) The area $A$ of a triangle is given by the formula $A=0.5bh$ where b = base and h = height. (2) The area $A$ of a square is given by the formula $A= s^2$ where s = side length. The given triangle has a base of 12 inches and a height of 8 inches. Thus, the area of the triangle is: $A=0.5(12)(8) = 6(8) = 48$ square inches The square has a sidelength of $12$ inches. Thus, its area is: $A=12^2=144$ square inches. Therefore, the area of the given figure is: $A= \text{area of the triangle} + \text{area of the square} \\A=48 + 144 \\A = 192 \text{ square inches}$