The total area of the shaded regions in the trapezoid, calculated by adding the areas of the two right triangles, is 31.88 square inches.
Let's analyze the given shape, which can be divided into 2 parts for calculating the area of shaded regions.
For the right angle triangle on the left side :
To find the area of a right angle triangle we can use the formula:
1/2 * b* h
Substituting the values of base and height which is 5.4 in and 4.8 in respectively.
= 1/2 *5.4 * 4.8
= 1/2 * 25.92
= 12.96 square inches
For the right angle triangle on the right side :
To find the area of a right angle triangle we can use the formula:
1/2 * b* h
Where base is 7.9 in and height is 4.8 in
= 1/2 * 7.9 * 4.8
= 18.92 square inches
Now , to find the total area of shaded regions we add up the areas we have found.
= 12.96 + 18.92
= 31.88 square inches
So , the total area of the shaded regions of the trapezoid is 31.88 square inches