Given the figure in the question, we are asked to find the area and perimeter of the figure.
The figure is a trapezoid.
(a) Area
Formula for the area of trapezoid is:
A = (a + b)h
2
Where:
a is the base above
b is the base below
h is the height.
Area = (3 + 11) * 7
2
Area = 14/2 * 7
Area = 7 * 7
Area = 49
(b) perimeter
To get the perimeter of a figure, you add all the side length.
So,
Perimeter = 8 + 3 + 10 + 11
Perimeter = 32