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Find the perimeter of the parallelogram shown. The lengths of the adjacent sides are 35 cm and 110 cm.

Mathematics

ScanSolve AI Answer

Answer

290 cm\text{290 cm}

Step-by-step solution

3 steps

Huu ni msambamba (parallelogram). Katika msambamba, pande zinazopingana zina urefu sawa.

  1. Tambua urefu wa pande za msambamba.

    Kutoka kwenye picha, tunaona:

    • Upande wa chini una urefu wa 35 cm35 \text{ cm}. Kwa kuwa pande zinazopingana ni sawa, upande wa juu pia una urefu wa 35 cm35 \text{ cm}.
    • Upande wa kushoto una urefu wa 110 cm110 \text{ cm}. Kwa kuwa pande zinazopingana ni sawa, upande wa kulia pia una urefu wa 110 cm110 \text{ cm}.
  2. Tumia fomula ya mzunguko wa msambamba.

    Mzunguko wa msambamba (PP) huhesabiwa kwa kujumlisha urefu wa pande zote nne. Fomula ni P=2(a+b)P = 2(a + b), ambapo aa na bb ni urefu wa pande mbili tofauti.
    Hivyo, a=35 cma = 35 \text{ cm} na b=110 cmb = 110 \text{ cm}.

  3. Kokotoa mzunguko.

    P=2(35 cm+110 cm)P = 2(35 \text{ cm} + 110 \text{ cm}) P=2(145 cm)P = 2(145 \text{ cm}) P=290 cmP = 290 \text{ cm}

    Mzunguko wa msambamba ni:

    290 cm\text{290 cm}
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