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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

Sagot :

Abidemiokinidn

Answer:

Area of the figure = 39 square units

Step-by-step 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

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