Step 1: Let's calculate the area of the rectangle. as follows:
Area = Length * Width
Area = 10 * (2 * 9) We see that the base of the triangles is 9 and we have two triangles, thus the lenght of the rectangle is 2 * 9
Area = 10 * 18 square inches
Area = 180 square inches
Step 2: Let's calculate the area of the two triangles that form the shaded region:
Area = (Base - Height)/2
We can see that the base of the triangle is 9, and the height is also the width of the rectangle, 10.
Area = 9 * 10/2
Area = 90/2
Area = 45 square inches
Like we have two triangles, then the shaded area is:
Area = 45 * 2 (You can calculate this multiplication, Lizzy)
And that is the answer to our problem.
If we want to know the area of the non-shaded region, we proceed this way:
Area = Area of the rectangle - Area of the shaded region
Area = 180 - Area of the shaded region