The length of other base of trapezoid is 10 miles
Step-by-step explanation:
The formula for area of trapezoid is:

We know that
A = 42 square miles
b_1 = 4 miles
h = 6 miles
Putting the values

The length of other base of trapezoid is 10 miles
Keywords: Area of trapezoid
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Answer:
6√3 or 10.39 to the nearest hundredth.
Step-by-step explanation:
3 radical 12
I assume you mean 3 * √12
this simplifies to
3 * √4 * √3
= 3*2*√3
= 6√3 or 10.39 to the nearest hundredth.
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!

The left sides of the equations are the same and the right sides of the equations are different, therefore the system of equations is inconsistent.
Answer: B. inconsistent.