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choli [55]
3 years ago
15

El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

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