SOLUTION: i need someone to show me how to solve this problem:if A(-3,0) and C(5,2) are the endpoints of diagonals AC of rectangle ABCD, with B on the x-axis, what is the perimeter of rectan

Algebra ->  Points-lines-and-rays -> SOLUTION: i need someone to show me how to solve this problem:if A(-3,0) and C(5,2) are the endpoints of diagonals AC of rectangle ABCD, with B on the x-axis, what is the perimeter of rectan      Log On


   

Question 878922: i need someone to show me how to solve this problem:if A(-3,0) and C(5,2) are the endpoints of diagonals AC of rectangle ABCD, with B on the x-axis, what is the perimeter of rectangle ABCD
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
This rectangle has a point on the x-axis, (x,0) and you want the slopes to it from A and C to be negative reciprocals, which will make the angle at the point on the x-axis, a RIGHT ANGLE. Use the slope formula for this.

Point B also on the x axis? Point B is some (x,0). Try plotting some points A, C, and B(?) and see how this seems.

%280-0%29%2F%28x-%28-3%29%29=slopeAB
slopeAB=0, meaning AB is on the x-axis and is horizontal. This means that slope for BC is undefined, and BC is vertical. Where is point C(5,2) ? Directly above point B, so the ordered pair for B is (5,0).

If you have drawn the graph of this up to now, you should see that point D must also be directly above point A. The ordered pair for D must be (-3,2).

Calculating the perimeter for this rectangle should be simple now.
Twice AB plus twice BC.
Perimeter: 8+2+8+2