Answer :
Answer:
- 6 units
- 13 units
- 5 units
Step-by-step explanation:
You want the lengths of the unknown sides in the given trapezoid figure, knowing that the perimeter is 18 units.
1.
The side AB is a vertical line segment, so its length can be found by finding the difference of y-coordinates of its end points.
AB = (2) -(-4) = 2+4 = 6
The length of AB is 6 units.
2.
The sum of the lengths of vertical and horizontal segments is ...
AB +BC +CD = 6 +4 +3 = 13
The total distance from A to D along vertical and horizontal segments is 13 units.
3.
The perimeter is the sum of the lengths of all sides.
perimeter = AB +BC +CD +AD
18 = 13 + AD . . . . . . substitute known values
5 = AD . . . . . . . . . subtract 13
The length of segment AD is 5 units.
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Additional comment
Finding the length of a vertical or horizontal line is no different than finding the distance between two points on a number line.