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# analytic graphing geometry help

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The square with vertices $$(-a,-a),(a,-a),(-a,a),(a,a)$$ is cut by the line $$y = {x\over2}$$ into congruent quadrilaterals. The perimeter of one of these congruent quadrilaterals divided by $$a$$ equals what? Express your answer in simplified radical form.

I tried graphing it with 'a' = 1 but it didnt work.

Jan 28, 2022

#1
+514
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I personally got $$4+\sqrt{5}$$ can someone double check?

Jan 29, 2022
#2
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Yes, I got the same answer.

Melody  Jan 29, 2022