Answer:
We can split the shape into two figures;
Triangle
Trapezoid
The above shape will be a triangle and the shape below it will be considered the trapezoid.
First let's know the formula of their areas for the two:
Formula for area of a trapezoid is
A = 1/2(b1 + b2) x h
Formula for area of triangle is
A = BH x 1/2
Now let's figure out the base and height of the triangle:
4 is the base and 2 is the height, now plug in our values into the formula:
A = BH x 1/2
A = 4 x 2 x 1/2
A = 8 x 1/2
A = 8/2
A = 4, the area of the triangle is <u>4</u>
Now the trapezoid's bases and height:
The bottom base is 5, and the top base is 3, our height is 2
So plug in those values into the formula;
A = 1/2(b1 + b2) x h
A = 1/2(5 + 3) x 2
A = 5/2 + 3/2 x 2
A = 8/2 x 2
A = 16/2 which simplifies to <u>8</u>
Now add the areas for those two shapes:
4(triangle) + 8(trapezoid) = <u>12</u> is your answer.