Area of wooden support is 36 square inches
Solution:
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
The area of trapezoid is given as:
[tex]area = \frac{a+b}{2} \times h[/tex]
Where, "h" is the height
"a" and 'b" are the length of base
Here given that,
Height = h = 4 inches
a = 6 inches
b = 12 inches
Substituting the values we get,
[tex]area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36[/tex]
Thus area of wooden support is 36 square inches