II gimnazjum

Matematyka wokół nas 2

<math-expr expr="P=sqrt(0,72*10^4)cm*sqrt(0,2*10^5)cm=sqrt(0,72*0,2*10^4*10^5)cm&amp;2=sqrt(0,144*10^(4+5))cm^2=sqrt(10*0,0144*10^9)cm^2=sqrt((0,12)^2*10^10)cm^2=sqrt((0,12)^2*(10^5)^2)cm^2=0,12*10^5 cm^2=1,2:10*10^5cm^2=1,2*10^(5-1)cm^2=1,2*10^4 cm^2" syntax="text"></math-expr>  <section class="answer"><h4 class="answer-heading">Odpowiedź:</h4> Pole tego równoległoboku wynosi 1,2⋅104cm2 .</section>

Rozwiązanie 1

Graniastosłup prawidłowy czworokątny w podstawie ma kwadrat. Obliczamy pole podstawy: Pp​=30,2⋅104<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.88em' viewBox='0 0 400000 1944' preserveAspectRatio='xMinYMin slice'><path d='M983 90
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M1001 80h400000v40h-400000z'/></svg>​cm⋅30,2⋅104<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.88em' viewBox='0 0 400000 1944' preserveAspectRatio='xMinYMin slice'><path d='M983 90
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M1001 80h400000v40h-400000z'/></svg>​cm=30,2⋅0,2⋅104⋅104<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.88em' viewBox='0 0 400000 1944' preserveAspectRatio='xMinYMin slice'><path d='M983 90
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c4,-6.7,10,-10,18,-10 H400000v40
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c53.7,-170.3,84.5,-266.8,92.5,-289.5z
M1001 80h400000v40h-400000z'/></svg>​cm2=3(0,2)2⋅108<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.88em' viewBox='0 0 400000 1944' preserveAspectRatio='xMinYMin slice'><path d='M983 90
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c4,-6.7,10,-10,18,-10 H400000v40
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M1001 80h400000v40h-400000z'/></svg>​cm2

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a)112<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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