The perimeter of rectangle WXYZ is 6√10 units.
Option (c) is correct.
It is given that ZY = WX in rectangle WXYZ.
What is rectangle?
Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
Thus, ZY = WX in rectangle WXYZ.
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
so, the perimeter of rectangle WXYZ is 6√10 units.
Learn more about the rectangle here:
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