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The length of a swimming pool is 16m and the width is 8m. Using a suitable scale draw the scale length and width and find the area. The height of a building is 40m. Using a scale 1cm rep 5m draw the scale. The length of a door is measured as 400cm. Represent the length of the door.

Mathematics

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Answer

128 m2\text{}128 \text{ m}^2\text{}

8 cm\text{}8 \text{ cm}\text{}

Step-by-step solution

6 steps

Haya, twende tukasuluhishe maswali haya.

4. Urefu wa bwawa la kuogelea ni 16 m16 \text{ m} na upana ni 8 m8 \text{ m}. Tumia kipimo kinachofaa kuchora urefu na upana wa kipimo na utafute eneo.

  • Urefu halisi wa bwawa = 16 m16 \text{ m}
  • Upana halisi wa bwawa = 8 m8 \text{ m}
  1. Chagua kipimo kinachofaa.

    Tutatumia kipimo cha 1 cm1 \text{ cm} kuwakilisha 2 m2 \text{ m}.

    Kipimo=1 cm:2 m\text{Kipimo} = 1 \text{ cm} : 2 \text{ m}
  2. Tafuta urefu wa bwawa kwenye mchoro kwa kutumia kipimo.

    Urefu kwenye mchoro=Urefu halisiKipimo=16 m2 m/cm=8 cm\text{Urefu kwenye mchoro} = \frac{\text{Urefu halisi}}{\text{Kipimo}} = \frac{16 \text{ m}}{2 \text{ m/cm}} = 8 \text{ cm}
  3. Tafuta upana wa bwawa kwenye mchoro kwa kutumia kipimo.

    Upana kwenye mchoro=Upana halisiKipimo=8 m2 m/cm=4 cm\text{Upana kwenye mchoro} = \frac{\text{Upana halisi}}{\text{Kipimo}} = \frac{8 \text{ m}}{2 \text{ m/cm}} = 4 \text{ cm}
  4. Tafuta eneo halisi la bwawa.

    Eneo=Urefu×Upana=16 m×8 m=128 m2\text{Eneo} = \text{Urefu} \times \text{Upana} = 16 \text{ m} \times 8 \text{ m} = 128 \text{ m}^2

    Urefu kwenye mchoro ni 8 cm8 \text{ cm}, upana kwenye mchoro ni 4 cm4 \text{ cm}, na eneo halisi ni 128 m2\boxed{\text{}128 \text{ m}^2\text{}}

    5. Urefu wa jengo ni 40 m40 \text{ m}. Kwa kutumia kipimo 1 cm1 \text{ cm} inawakilisha 5 m5 \text{ m}, chora kipimo.

    • Urefu halisi wa jengo = 40 m40 \text{ m}
    • Kipimo = 1 cm:5 m1 \text{ cm} : 5 \text{ m}
  5. Tafuta urefu wa jengo kwenye mchoro kwa kutumia kipimo.

    Urefu kwenye mchoro=Urefu halisiKipimo=40 m5 m/cm=8 cm\text{Urefu kwenye mchoro} = \frac{\text{Urefu halisi}}{\text{Kipimo}} = \frac{40 \text{ m}}{5 \text{ m/cm}} = 8 \text{ cm}

    Urefu wa jengo kwenye mchoro ni 8 cm\boxed{\text{}8 \text{ cm}\text{}}

    6. Urefu wa mlango umepimwa kama 400 cm400 \text{ cm} kutokana na kwamba 1 cm1 \text{ cm} inawakilisha 50 cm50 \text{ cm}. Wakilisha urefu wa mlango.

    • Urefu halisi wa mlango = 400 cm400 \text{ cm}
    • Kipimo = 1 cm:50 cm1 \text{ cm} : 50 \text{ cm}
  6. Tafuta urefu wa mlango kwenye mchoro kwa kutumia kipimo.

    Urefu kwenye mchoro=Urefu halisiKipimo=400 cm50 cm/cm=8 cm\text{Urefu kwenye mchoro} = \frac{\text{Urefu halisi}}{\text{Kipimo}} = \frac{400 \text{ cm}}{50 \text{ cm/cm}} = 8 \text{ cm}

    Urefu wa mlango kwenye mchoro ni 8 cm\boxed{\text{}8 \text{ cm}\text{}}

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