90 square inches.
Step-by-step explanation:
For this problem, it's better to look at the shapes individually, or to draw imaginary lines on the figure given to better illustrate it. Starting at the bottom, I imagine the figure at the bottom as an individual rectangle, where i can just multiply 3 and 2 to get 6. Next, you have the big rectangle. The length is 5 (not the 9; the 9 includes the square at the bottom and the long rectangle) , and in order to find the width, you have to add 4 and 3 to get 7. Then, multiply 7 and 5 to get 35. Next, you'll need to find the long rectangle. The height is 2, and the width is 14 (the rectangle that we just did plus the additional length labeled). 2 times 14 is 28. Finally, the triangle. Since you know the whole length of the shape is 14, you can subtract the side lengths next to the triangle (the 2 and the 6) from 14, to get 6 as the base. Multiply 7 and 6 to get 42, and divide 42 by 2 (21) since that's the area formula for a triangle.