Respuesta :

Answer:

Therefore the value of EC is 13 unit.

Step-by-step explanation:

Given:

ABCD is a Rectangle

EC = 6x + 1

AE = x +11

To Find:

EC = ?

Solution:

ABCD is a Rectangle .........Given

Diagonal of Rectangle Bisect each other. .......Property of Rectangle

[tex]AE = EC[/tex]

Substituting the values we get'

[tex]x+11=6x+1\\6x-x=11-1\\5x=10\\x=\dfrac{10}{2}\\\\x=2[/tex]

Substituting 'x' in EC we get

[tex]EC=6\times 2+1=13\\EC=13\ unit[/tex]

Therefore the value of EC is 13 unit.

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