Answer:
The dimensions are:
by 
Step-by-step explanation:
The area of the rectangle is given as
The factored form of this quadratic trinomial gives the dimensions of the rectangle.
We factor 3 first to obtain;
We split the middle term to get;
We factor within the parenthesis to get;
We factor further to get;
The dimensions are:
by
Then the perimeter will be
Consider the picture, and check the choices:
A. The alternate interior angles, are also called Z angles, because of the Z shape they create.
examples of Z angles, are the green angles and purple angles shown in the picture.
They really look identical (congruent)
B.
No: check the green angles in figure 1, and purple angles if figure 2. they are not acute.
C.
No. In each case, we have the same number of acute angles and obtuse angles,
except case3, where the intersecting line, is perpendicular to the parallel lines.
D.
No, by the same reasoning used in part C. Only when the intersecting line cuts the 2 parallel lines perpendicularly, all the angles are congruent.
Answer: A
Hi! Here's how you do this problem:
1. You want to turn the 7 into 6 12/12
2. Subtract the two
6 12/12 - 3 5/12 = 3 7/12
So your answer is 3 7/12. Hope I helped!
