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umka21 [38]
3 years ago
10

Par quelle fraction est multipliée l'aire d'un rectangle si l'on augmente sa longueur de son cinquième et sa largeur de son tier

s ?
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Répondre:

8/15

Explication étape par étape:

Prendre:

Longueur = x

Largeur = y

Zone du rectangle = Longueur * largeur

Un cinquième de longueur = x / 5

Un tiers de largeur = x / 3

Zone d'origine = xy

Nouvelle dimension:

Longueur = x + x / 5 = (5x + x) / 5 = 6x / 5

Largeur = x + x / 3 = (3y + y) / 3 = 4y / 3

Nouvelle zone = 6x / 5 * 4y / 3

Nouvelle zone = (24/15) xy

Fraction de la nouvelle zone par rapport à la zone d'origine:

(24/15) xy: xy

24/15: 1

24/15

= 8/5

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1 year ago
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