This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Huu ni mchoro wa shamba lenye umbo la mstatili na nusu duara.
a) Kupata mzunguko wa shamba: Mzunguko ni jumla ya urefu wa kingo za nje za umbo. Kutoka kwenye mchoro: • Urefu wa upande wa kushoto (upana wa mstatili) ni . • Urefu wa upande wa juu (urefu wa mstatili) ni . • Urefu wa upande wa chini ni . • Mstari wa doti unaonyesha rediasi ya nusu duara, ambayo ni sawa na upana wa mstatili, . • Sehemu ya chini ya mstatili ni . • Urefu wa upinde wa nusu duara ni .
Step 1: Tambua vipimo vya pande za nje. Urefu wa upande wa kushoto = Urefu wa upande wa juu = Urefu wa upande wa chini wa mstatili = Rediasi ya nusu duara,
Step 2: Kokotoa urefu wa upinde wa nusu duara.
Step 3: Jumlisha urefu wa pande zote za nje ili kupata mzunguko. Mzunguko wa shamba ni .
b) Kokotoa eneo lililofunikwa na shamba: Eneo la shamba ni jumla ya eneo la mstatili na eneo la nusu duara.
Step 1: Kokotoa eneo la mstatili. Urefu wa mstatili = Upana wa mstatili =
Step 2: Kokotoa eneo la nusu duara. Rediasi ya nusu duara,
Step 3: Jumlisha eneo la mstatili na eneo la nusu duara. Eneo lililofunikwa na shamba ni .
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Huu ni mchoro wa shamba lenye umbo la mstatili na nusu duara. a) Kupata mzunguko wa shamba: Mzunguko ni jumla ya urefu wa kingo za nje za umbo.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.