Answer:
The area of the whole figure = 146 cm^2
Step-by-step explanation:
The figure has two parts.
The upper part is a trapezoid and the lower part is a triangle.
Let's find the area of each figure and add them to get the answer.
Area of a trapezoid = 1/2h(a+ b)
Where "h" is the height and "a" and "b" are the bases.
Here h = 10, a = 14 and b = 4.
Plugging in these value in the above formula, we get
Area of the trapezoid = 1/210(14 + 4)
= 5(18)
Area of the trapezoid = 90 cm^2
Part 2
Area of a triangle = 1/2bh, where "h" is the height of the triangle and "b" is the base of the triangle.
Here h = 18 -10 = 8 cm
and b = 14
Plug in these values in the above formula, we get
Area of the triangle = 1/2814
= 4*14
Area of the triangle = 56 cm^2
The area of the whole figure = 90 cm^2 + 56 cm^2 = 146 cm^2
Hope this will helpful.
Thank you.
