Answer:
126 square inches.
Step-by-step explanation:
First we use the formula A = lw to find out the area of the rectangle in the center:
A = 12 * 9 --> A = 108 in. squared
Next we use the formula A = (lw) / 2 to find out the areas of the right triangles on either side:
A = (9 * 2) / 2 --> A = 18 / 2 --> A = 9in. squared.
Since both the right triangles are the exact same size, we can just multiply that number (9) by two instead of doing the work all over again :)
And lastly, we add the totals of each shape together to get our total area:
108 + 9 + 9 = 126
And thus, the area of this trapezoid is 126 in. squared.
Hope this helps.
