Respuesta :

Answer:

Step-by-step explanation:

UV² = 3² + 4² = 9 + 16 = 25

UV =√25 = 5

UV = VW = 5   { in Kite, adjacent sides are equal}

UX² = 3² + 9² = 9 + 81 = 90

UX =√90 = 9.49

UX = WX = 9.49

Perimeter =  5 + 5+ 9.49 + 9.49 = 28.98

Answer:

10 + 6[tex]\sqrt{10}[/tex]

Step-by-step explanation:

The main diagonal XY is a perpendicular bisector of UW, thus the triangles inside the kite are all right triangles

UV = 5 ( 3 - 4 - 5 Pythagorean triple )

and VW = UV = 5

Calculate the hypotenuse WX using Pythagoras' identity

WX² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

WX = [tex]\sqrt{90}[/tex] = [tex]\sqrt{9(10)}[/tex] = 3[tex]\sqrt{10}[/tex]

and UX = WX = 3[tex]\sqrt{10}[/tex]

Thus perimeter is the sum of the 4 sides

= 5 + 5 + 3[tex]\sqrt{10}[/tex] + 3[tex]\sqrt{10}[/tex]

= 10 + 6[tex]\sqrt{10}[/tex]