Answer:
A) [tex]44\ cm^2[/tex]
Step-by-step explanation:
Given:
Trapezoid is composed of 2 triangles and 1 rectangle.
In order to find area of trapezoid, we will find area of each shape contained in the trapezoid and add them together
Area of triangles:
Base = 2 cm
Height = 4 cm
Area of a triangle = [tex]\frac{1}{2}\times base\times height[/tex]
Plugging in given values.
Area of a triangle = [tex]\frac{1}{2}\times 2\times 4=4\ cm^2[/tex]
Ares of other triangle would be same as they have same height and base.
So, Area of two triangles = [tex]2\times 4 =8\ cm^2[/tex]
Area of rectangle:
Length = 9 cm
Width = 4 cm
Area of rectangle = [tex]length \times width[/tex]
Area of rectangle = [tex]9 \times 4=36\ cm^2[/tex]
So, area of trapezoid = [tex]\textrm{Area of triangles + Area of rectangle}[/tex]
∴ Area of trapezoid = [tex]8\ cm^2+36\ cm^2=44\ cm^2[/tex]
