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Niki is decorating a rectangular dining table for a party. The length of the table is 8 feet and the width is 6 feet. Niki put a ribbon diagonally across the table. What is the length of the ribbon, in feet?

A: 10
B: 2
C: 14
D: 4

Respuesta :

calculista

Answer:

Option A. [tex]10\ ft[/tex]

Step-by-step explanation:

Let

x-----> the  length of the ribbon

we know that

Applying the Pythagoras Theorem, find the length of the diagonal of the rectangle

so

[tex]x^{2}=8^{2}+6^{2}[/tex]

[tex]x^{2}=64+36[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ ft[/tex]

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