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Typhoune
@Typhoune
April 2019
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Pouvez vous m'aidez a calculer en justifiant l'aire de la figure grise c'est très important!! merci
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MathieuM
L'aire de BCDGFE (la figure grise) = aire ABCD - AEFG
Aire ABCD = longueur x largeur
= (5√21 - √3) x 7√3
= 7x5√21x√3 - 7√3x√3
= 7 x 5√7 x √3 x √3 - 7x3
= 7 x 5√7 x 3 - 21
= 105√7 - 21
Aire AEFG = côté x côté
= (3√2)²
= 9x2 = 18
Aire BCDGFE = 105√7 - 21 - 18 = 105√7 - 39
4 votes
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typhoune
merci
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Aire ABCD = longueur x largeur
= (5√21 - √3) x 7√3
= 7x5√21x√3 - 7√3x√3
= 7 x 5√7 x √3 x √3 - 7x3
= 7 x 5√7 x 3 - 21
= 105√7 - 21
Aire AEFG = côté x côté
= (3√2)²
= 9x2 = 18
Aire BCDGFE = 105√7 - 21 - 18 = 105√7 - 39