We have to find the lengths of the sides XY and XW:
XY² = ( - 7 - ( - 4 ) )² + ( - 1 - 0 )²
XY² = ( - 7 + 4 )² + ( - 1 )²
XY² = 9 + 1 = 10
XY = √10
XW² = ( - 6 - ( - 4 ))² + ( 6 - 0 )²
XW² = ( - 6 + 4 )² + 6 ²
XW² = 4 + 36 = 40
XW = √ 40 = 2 √10
The perimeter of the rectangle:
P = 2 · √10 + 2 · 2√10 = 2√10 + 4√10 = 6√10
Answer:
C ) 6√10 units.
