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.
ScanSolve AI Answer
Hapa kuna hatua za kukokotoa eneo la sehemu zenye kivuli: a) Step 1: Kokotoa eneo la mstatili wa nje. Urefu wa mstatili wa nje ni 36 cm na upana ni 24 cm. A_nje = urefu × upana = 36 cm × 24 cm = 864 cm^2 Step 2: Kokotoa eneo la mstatili wa ndani. Urefu wa mstatili wa ndani ni 22 cm na upana ni 16 cm. A_ndani = urefu × upana = 22 cm × 16 cm = 352 cm^2 Step 3: Kokotoa eneo la sehemu yenye kivuli. Eneo lenye kivuli ni tofauti kati ya eneo la nje na eneo la ndani. A_kivuli = A_nje - A_ndani = 864 cm^2 - 352 cm^2 = 512 cm^2 Eneo la sehemu yenye kivuli ni 512 cm^2. b) Step 1: Kokotoa eneo la mstatili wa nje. Urefu wa mstatili wa nje ni 42 cm na upana ni 24 cm. A_nje = urefu × upana = 42 cm × 24 cm = 1008 cm^2 Step 2: Kokotoa vipimo vya mstatili wa ndani. Urefu wa mstatili wa ndani: 42 cm - (6 cm + 6 cm) = 42 cm - 12 cm = 30 cm. Upana wa mstatili wa ndani: 24 cm - (3 cm + 3 cm) = 24 cm - 6 cm = 18 cm. Step 3: Kokotoa eneo la mstatili wa ndani. A_ndani = urefu × upana = 30 cm × 18 cm = 540 cm^2 Step 4: Kokotoa eneo la sehemu yenye kivuli. Eneo lenye kivuli ni tofauti kati ya eneo la nje na eneo la ndani. A_kivuli = A_nje - A_ndani = 1008 cm^2 - 540 cm^2 = 468 cm^2 Eneo la sehemu yenye kivuli ni 468 cm^2. Tuma swali linalofuata 📸