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 suluhisho la swali lako: Mchoro unaonyesha umbo lililounganishwa, linalojumuisha nusu duara (semi-circle) na trapeza (trapezium). Tunahitaji kupata eneo la jumla la umbo hili. Step 1: Hesabu eneo la nusu duara. Kutoka kwenye mchoro, kipenyo cha nusu duara ni 14 cm. Hivyo, rediasi (r) ni (14)/(2) = 7 cm. Tunatumia = (22)/(7). Eneo la nusu duara = (1)/(2) r^2 Eneo la nusu duara = (1)/(2) × (22)/(7) × (7 cm)^2 Eneo la nusu duara = (1)/(2) × (22)/(7) × 49 cm^2 Eneo la nusu duara = 11 × 7 cm^2 Eneo la nusu duara = 77 cm^2 Step 2: Hesabu eneo la trapeza. Trapeza ina pande mbili sambamba zenye urefu wa 10 cm na 18 cm. Urefu (height) wa trapeza ni 14 cm. Eneo la trapeza = (1)/(2) (a+b) h Ambapo a = 10 cm, b = 18 cm, na h = 14 cm. Eneo la trapeza = (1)/(2) (10 cm + 18 cm) × 14 cm Eneo la trapeza = (1)/(2) (28 cm) × 14 cm Eneo la trapeza = 14 cm × 14 cm Eneo la trapeza = 196 cm^2 Step 3: Hesabu eneo la jumla. Eneo la jumla ni jumla ya eneo la nusu duara na eneo la trapeza. Eneo la jumla = Eneo la nusu duara + Eneo la trapeza Eneo la jumla = 77 cm^2 + 196 cm^2 Eneo la jumla = 273 cm^2 Eneo la jumla la umbo ni 273 cm^2. That's 2 down. 3 left today — send the next one.