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: Tafuta uwiano wa eneo (k^2). Tunajua kuwa uwiano wa maeneo ya poligoni zinazofanana ni sawa na mraba wa kipimo cha ukuzaji (k). Eneo la poligoni iliyopangwaEneo la poligoni asili = k^2 1600 cm^2400 cm^2 = k^2 4 = k^2 Step 2: Tafuta kipimo cha ukuzaji (k). Ili kupata k, tunachukua mzizi wa mraba wa pande zote mbili: k = sqrt(4) k = 2 Step 3: Tumia kipimo cha ukuzaji kupata urefu wa x. Tunajua kuwa uwiano wa urefu wa pande zinazolingana ni sawa na kipimo cha ukuzaji. Urefu wa upande unaolingana (poligoni iliyopangwa)Urefu wa upande unaolingana (poligoni asili) = k (x)/(10 cm) = 2 Ili kupata x, tunazidisha pande zote mbili kwa 10 cm: x = 2 × 10 cm x = 20 cm Thamani ya x ni: 20 cm 3 done, 2 left today. You're making progress.