Answer:
Area of the figure = 39 square units
Explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
Base of triangle = 4
Height = 1 + 5 = 6
Area of the triangle = 1/2 *4 * 6
Area of the triangle = 12units²
Area of rectangle = Length * Width
Length = 4
Width = 5
Area of rectangle = 4 * 5
Area of rectangle = 20units²
Area of trapezoid = 1/2(a+b)*h
a and b are the parallel sides
h is the height
a = 2
b = 5
h = 6-4 = 2
Area of trapezoid = 1/2(2+5)*2
Area of trapezoid = 1/2*7*2
Area of trapezoid = 7units²
Area of the figure = Area of the triangle +Area of the rectangle + Area of the trapezoid
Area of the figure = 12 + 20 + 7
Area of the figure = 39 square units