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
Step 1: Tumia fomula ya eneo la pembetatu ya pembe mraba kupata urefu wa upande mwingine. Eneo A = (1)/(2) × base × height. Tunajua upande mfupi zaidi (base) ni 17 m na eneo ni 346.8 m^2. 346.8 = (1)/(2) × 17 × height Step 2: Tafuta urefu wa upande mwingine (height). 346.8 × 2 = 17 × height 693.6 = 17 × height height = (693.6)/(17) height = 40.8 m Step 3: Sasa tuna pande mbili za pembetatu ya pembe mraba: 17 m na 40.8 m. Upande mrefu zaidi katika pembetatu ya pembe mraba ni hypotenuse. Tumia theorem ya Pythagoras (c^2 = a^2 + b^2) kupata urefu wa upande mrefu zaidi. c^2 = (17)^2 + (40.8)^2 Step 4: Kokotoa miraba ya pande hizo. c^2 = 289 + 1664.64 c^2 = 1953.64 Step 5: Tafuta mzizi wa mraba wa c^2 ili kupata c. c = sqrt(1953.64) c = 44.2 m Urefu wa upande mrefu zaidi wa bustani ni 44.2 m. 44.2 m Tuma swali linalofuata 📸