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murzikaleks [220]

2 years ago

10

Pat has a 10 cm length of string she's going to use to measure a small square table. The side length she measures is five strin

g. What are the dimensions of the table?

2 answers:

garri49 [273]2 years ago

6 0

If she uses 5 strings to measure 1 side, each side of the square is 50 cm long

Vesna [10]2 years ago

5 0

The table is 50cm by 50cm

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According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

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