What is the area of the shaded region and we have the front base as 10.7 feet and then that is a shaded part and then on the left side the length is 13.6 feet and that is not shaded so what is the area of the shaded region?
To find the area of the shaded region, we will first find the total area of the trapezoid, and then subtract the area of the unshaded triangle.
The formula for the area of a trapezoid is given by:
Area = (1/2) * (a + b) * h
Where:
a = front base = 10.7 feet
b = back base = 13.6 feet
h = height = 13.6 feet (since the height is perpendicular to the front base)
Plugging in the values, we get:
Area of trapezoid = (1/2) * (10.7 + 13.6) * 13.6
Area of trapezoid = (1/2) * (24.3) * 13.6
Area of trapezoid = 164.68 square feet
Now, we need to find the area of the unshaded triangle which is also a right triangle.
The area of a right triangle is given by:
Area = (1/2) * base * height
For the unshaded triangle:
Base = 10.7 feet
Height = 13.6 feet
Area of unshaded triangle = (1/2) * 10.7 * 13.6
Area of unshaded triangle = 72.92 square feet
Therefore, the area of the shaded region is:
Area of trapezoid - Area of unshaded triangle
= 164.68 - 72.92
= 91.76 square feet
Therefore, the area of the shaded region is 91.76 square feet.