Respuesta :

Answer:

Area = 8 units²

Step-by-step explanation:

Given that a trapezium whose parallel sides length is (2+2+2=6) and 2.

Height of the trapezium is 2

So,

a = 6 unit

b = 2 unit

h = 2 units.

We have a formula to find the area of trapezium is:

Area = [tex]\frac{(a+b)}{2}*h[/tex]

Area = [tex]\frac{(6+2)}{2}*2[/tex]

Area = [tex]\frac{8}{2}*2[/tex]

Area = 8 unit².

That's the final answer.

I hope it helps you.

The area of the shape given in the picture is 8 square units.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The figure shown in the picture is made up of two identical right-angle triangles and one rectangle.

The area of the figure can be given as

= 2×(area of the right angle of the triangle) + (area of a rectangle)

Area of the right angle triangle = [tex]\frac{1}{2} (b\times h)[/tex]

Where b is the base length and h is the height.

[tex]=\frac{1}{2} (2\times2)[/tex]    (from the figure b = 2 units and h = 2 units)

= 2 square units

Area of rectangle = length × width

= 2×2 ⇒ 4 square units  (length = 2 and width = 2 units)

So the area of shape given:

= 2(2) + 4

= 4+4

=8 square units.

Thus, the area of the shape given in the picture is 8 square units.

Learn more about the area here:

brainly.com/question/14383947

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