We know that speed * time = distance
Before we start we need to make sure the units for all three numbers are right
The time is 1/3 of a hour, 1/3*60 = 20 minutes
x * 20 = 22.5
x *2 * 10 = 22.5
2x = 2.25
x = 1.125
Area of wooden support is 36 square inches
<em><u>Solution:</u></em>
Given that, carpenter cut out a small trapezoid as a wooden support for the front step
<em><u>The area of trapezoid is given as:</u></em>
![area = \frac{a+b}{2} \times h](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20%5Ctimes%20h)
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,
![area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36](https://tex.z-dn.net/?f=area%20%3D%20%5Cfrac%7B6%2B12%7D%7B2%7D%20%5Ctimes%204%5C%5C%5C%5Carea%20%3D%2018%20%5Ctimes%202%5C%5C%5C%5Carea%20%3D%2036)
Thus area of wooden support is 36 square inches
Common ratio = 8/2 = 32/8 = 4
10th term = a1*r^(n - 1) where a1 = 2 , r = 4 and n = 10
= 2 * 4^9
= 524,288
30 because 30 times 1/6 is 5