Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are
Assuming the plane is cutting the prism horizontally, the cross section would have dimensions
Because only the height would be cut.
So, the perimeter of the rectangle cross-section is
Therefore, the perimeter of the cross section is 30 centimeters.
The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
Convert it to the general form given below:
or
(Slope of AB line)
For the slope(m') of the PQ line:
( because AB and PQ are perpendicular to each other)
We know the:
Where (x', y') = (7, 6), we get:
(multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
