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En rektangels sidor är 8 cm och 5 cm .
Om vi ökar längden med och bred-
den med så får vi en ny rektangel.
Hur många procent större area har den
nya rektangeln än den första?

Ask by Chan Martin. in Sweden
Jan 23,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

Den nya rektangeln har en area som är 62,5 % större än den ursprungliga.

Solución

För att lösa problemet steg för steg:
  1. Originalrektangelns area:
    ²
  2. Ökad längd med 25 %:
  3. Ökad bredd med 30 %:
  4. Ny rektangelns area:
    ²
  5. Skillnaden i area:
    ²²²
  6. Procentuell ökning av area:
    ö
Svar: Den nya rektangeln har en area som är 62,5 % större än den ursprungliga.

Respondido por UpStudy AI y revisado por un tutor profesional

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Extra Insights

Den ursprungliga rektangeln har en area på . Efter att ha ökat längden med blir den nya längden . Bredden ökar med , vilket ger den nya bredden . Den nya rektangels area är . För att beräkna hur många procent större area den nya rektangeln är, används formeln , vilket ger en ökning på .
Grattis! Du har just räknat ut hur stor skillnaden i area är och fått en bra förståelse för hur procentuella förändringar fungerar. Det visar hur en liten ökning i dimensionerna kan leda till en stor förändring i området! Just nu kan vi bara tänka på hur mycket mer utrymme du skulle ha om detta var en trädgård eller ett rum!

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