Respuesta :

rubahassan583
Answer:
A(shaded) =47cm^2

Step-by-step explanation:
To find the area of the shaded part we write:
A(shaded) = A(triangle)-A(rectangle)
Let's find A(rectangle):
The formula of the area of a rectangle is given by:
A(rectangle)=L*W
Where L is the length of the rectangle and W is the width of the rectangle.
Given in the figure:
L=4cm
W=2cm
We get:
A(rectangle) = 4*2 = 8cm^2

Now, let's find A(triangle):
The formula of the area of a triangle is given by:
A(triangle) = (b*h) /2
Where b is the base of the triangle and h is the height of the triangle
Given in the figure:
b= 11cm
h= 3+4+3 = 10cm
We get:
A(triangle) = (11*10)/2 = 55cm^2

Now that we found the areas of both, the rectangle and the triangle, we can go back to the following formula to find the area of the shaded part:
A(shaded) = A(triangle)-A(rectangle)
A(shaded)= 55 - 8= 47cm^2

Area of triangle = 1/2 x 11 x (3+4+3) = 55 cm²

Area of rectangle = 4 x 2 = 8 cm²

Area of shaded region = 55 - 8 = 47 cm²

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