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misura delle due dimensioni.
[15 m; 17,5 m]
282 n un rettangolo la base e l’altezza differiscono di 24 cm e una è il triplo dell’altra. Quanto misurano le due dimensioni equal è il perimetro?

Ask by Adkins Sullivan. in Italy
Mar 16,2025

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Le dimensioni del rettangolo sono 12 cm e 36 cm, e il suo perimetro è 96 cm.

Solución

Per risolvere il problema, iniziamo a definire le variabili per le dimensioni del rettangolo. Sappiamo che:
  1. La base (b) e l’altezza (h) differiscono di 24 cm.
  2. Una dimensione è il triplo dell’altra.
Possiamo esprimere queste informazioni con le seguenti equazioni:
  • (1)
  • (2)
Ora, sostituiamo l’equazione (2) nell’equazione (1):
Semplificando, otteniamo:
Dividendo entrambi i lati per 2:
Ora possiamo trovare la base utilizzando l’equazione (2):
Quindi, le dimensioni del rettangolo sono:
  • Altezza (h) = 12 cm
  • Base (b) = 36 cm
Ora calcoliamo il perimetro § del rettangolo, che si calcola con la formula:
Sostituendo i valori:
Riassumendo, le dimensioni del rettangolo sono:
  • Altezza: 12 cm
  • Base: 36 cm
  • Perimetro: 96 cm
Quindi, la risposta finale è:
  • Dimensioni:
  • Perimetro:

Respondido por UpStudy AI y revisado por un tutor profesional

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Mind Expander

Immagina di avere un rettangolo le cui dimensioni si intrecciano come una storia avvincente! Se la base è tre volte l’altezza e differiscono di 24 cm, puoi impostare due equazioni: se chiami l’altezza , la base sarà . Risolvendo troverai il tuo e dedurrai facilmente la base!
E ora il calcolo del perimetro! Ricorda che il perimetro di un rettangolo si calcola con la formula . Sostituisci i valori trovati: . Ecco un bel 96 cm, che è un numero da associare a una buona misura di sicurezza per non perdersi nella geometria!

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