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A map has a scale 1cm represents 2500000 cm. Determine the actual distance that is represented by 2.3 cm on the map, giving your answer in kilometres.

Mathematics

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Answer

57.5 km\text{57.5 km}

Step-by-step solution

3 steps

Haya Mercy, twende kazi!

  1. Andika kipimo kilichotolewa na urefu kwenye ramani.

    Kipimo = 1 cm1 \text{ cm} inawakilisha 2,500,000 cm2,500,000 \text{ cm}
    Urefu kwenye ramani = 2.3 cm2.3 \text{ cm}

  2. Kokotoa umbali halisi katika sentimita.

    Umbali halisi (katika cm) = Urefu kwenye ramani ×\times Thamani ya kipimo
    Umbali halisi = 2.3 cm×2,500,000cmcm2.3 \text{ cm} \times 2,500,000 \frac{\text{cm}}{\text{cm}}
    Umbali halisi = 5,750,000 cm5,750,000 \text{ cm}

  3. Badilisha umbali halisi kutoka sentimita kwenda kilomita.

    Tunajua kuwa 1 m=100 cm1 \text{ m} = 100 \text{ cm} na 1 km=1000 m1 \text{ km} = 1000 \text{ m}.
    Hivyo, 1 km=1000 m×100cmm=100,000 cm1 \text{ km} = 1000 \text{ m} \times 100 \frac{\text{cm}}{\text{m}} = 100,000 \text{ cm}.
    Ili kubadilisha cm kwenda km, tunagawanya kwa 100,000.
    Umbali halisi (katika km) = 5,750,000 cm100,000cmkm\frac{5,750,000 \text{ cm}}{100,000 \frac{\text{cm}}{\text{km}}}
    Umbali halisi = 57.5 km57.5 \text{ km}

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