What is the area of the figure?Enter your answer in the box.

Accepted Solution

The area of the figure is 112 square inches.Step-by-step explanation:Step 1: To calculate the value of the composite shape we first divide it into shapes that we know. In this case, the composite shape consists of a triangle and a square attached below it. If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.Step 2:The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches. The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]The area of the triangle is 12 square inches.Step 3:The area of a square is the square of its side length. The given square has a side length of 10 inches.The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]The area of the square is 100 square inches.Step 4: Now we calculate the area of the entire figure by adding the areas of the triangle and the square. Area of the figure [tex]= 100 + 12 = 112.[/tex]So the area of the figure is 112 square inches.