Explanation:
WZ = (3x + 12)m
XY = (7x - 8)m
YZ = (5b + 16)m
WX = (11b - 8)m
WXYZ is a rectangle, opposite sides are equal
Hence,
WZ = XY || sides
3x + 12 = 7x - 8
3x - 7x = -8 - 12
-4x = -20
x = 5
Therefore,
WZ = (3(5) + 12) = 27m
XY = (7(5) - 8 ) = 27m
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YZ = WX | | Sides
(5b + 16) = (11b - 8)
5b - 11b = -8 - 16
-6b = -24
b = 4
Therefore,
YZ = (5b + 16) = 36m
WX = (11b - 8) = 36m
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7. x = 5
8. WZ = 27m
9. XY = 27m
10. b = 4
11. YZ = 36m
12. WX = 36m
13. XZ = 45m
14. WY = 45m
15. Perimeter = 2(36+27) = 126m
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In ∆WYX
(WX)² + (XY)² = (WY)². Pythagoras theorem
(36)² + (27)² = (WY)²
WY = 45m
WY = XZ [ Diagonals of a rectangle are equal]
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Gracias!