When constructing a perpendicular bisector, why must the compass opening be greater the 1/2 than the length of the segment?

Answer.

It is Important to open the compass more than half the length so that the arcs made would meet.

Explanation.

When you want to construct a perpendicular line to a line segment, say line AB, the follow steps are taken;

1) Open your compass to a radius greater than half the line AB.

2) With A as your center make an arc on top and below line AB.

3) Using the same radius and with B as our center, make other arcs on top and below line AB to meet the first arcs on both sides of the line.

4) Join the two intersection of the two arcs to cut line AB at M.

In so doing the line AB is said to be bisected perpendicularly. If the compass was opened less than half line AB, then the arcs could not have meet. 

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465