What is the area of this figure?
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The bottom square portion would be 10 x 10 = 100 square inches.
The area of the triangle would be 1/2 x base x height.
The base is 10 - 6 = 4 inches.
The height is 16 -10 = 6 inches.
Area = 1/2 x 4 x 6 = 12 square inches.
Total area = 100 + 12 = 112 square inches.
check the picture below.
so we really have a 10x10 square and a triangle whose height is 6 and whose base is 4.
[tex] \bf \stackrel{\textit{area of the square}}{(10\cdot 10)}~~+~~\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(4)(6)}\implies 100+12\implies 112 [/tex]