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Tafuta eneo la mchoro huu (25cm, 24cm)

Mathematics

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Answer

84 cm2\text{84 cm}^2

Step-by-step solution

3 steps
  1. Tambua pande za pembetatu.

    Tunapewa pembetatu ya pembe mraba.
    Urefu wa msingi (bb) ni 24 cm24 \text{ cm}.
    Urefu wa kizingo (cc) ni 25 cm25 \text{ cm}.
    Tunahitaji kupata urefu (aa) wa pembetatu.

  2. Tumia kanuni ya Pythagoras kupata urefu (aa).

    Kanuni ya Pythagoras inasema a2+b2=c2a^2 + b^2 = c^2.

    a2+(24 cm)2=(25 cm)2a^2 + (24 \text{ cm})^2 = (25 \text{ cm})^2 a2+576 cm2=625 cm2a^2 + 576 \text{ cm}^2 = 625 \text{ cm}^2 a2=625 cm2−576 cm2a^2 = 625 \text{ cm}^2 - 576 \text{ cm}^2 a2=49 cm2a^2 = 49 \text{ cm}^2 a=49 cm2a = \sqrt{49 \text{ cm}^2} a=7 cma = 7 \text{ cm}

    Hivyo, urefu wa pembetatu ni 7 cm7 \text{ cm}.

  3. Kokotoa eneo la pembetatu.

    Eneo la pembetatu (AA) hutolewa na kanuni A=12×msingi×urefuA = \frac{1}{2} \times \text{msingi} \times \text{urefu}.

    A=12×24 cm×7 cmA = \frac{1}{2} \times 24 \text{ cm} \times 7 \text{ cm} A=12 cm×7 cmA = 12 \text{ cm} \times 7 \text{ cm} A=84 cm2A = 84 \text{ cm}^2

    Eneo la mchoro huu ni 84 cm2\text{84 cm}^2.

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