Question

The figure below consists of a triangle, a rectangle, and a trapezoid.

What is the area of the figure in square units?
A. 39
B. 37
C. 49
D. 42

Answer 1

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