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
To solve the problems, let's break them down: 1.1 Calculate the Perimeter of the Net The net consists of a rectangle and two triangles. The rectangle has a length of 200 mm and a width of 150 mm. Each triangle has sides of 216 mm and 250 mm. Step 1: Calculate the perimeter of the rectangle. The perimeter of a rectangle is given by \( P = 2 × (length + width) \). Step 2: Calculate the perimeter of the triangles. Each triangle has two sides of 216 mm and 250 mm. Since there are two triangles, we multiply by 2. Step 3: Add the perimeters together. \[ P_rectangle = 2 × (200 + 150) = 2 × 350 = 700 \, mm \] \[ P_triangles = 2 × (216 + 250) = 2 × 466 = 932 \, mm \] \[ P_total = P_rectangle + P_triangles = 700 + 932 = 1632 \, mm \] The perimeter of the net is \(1632 \, mm\). 1.2 Calculate the Area of the Floor The floor is a rectangle with a length of 200 mm and a width of 150 mm. Step 1: Use the formula for the area of a rectangle, \( A = length × width \). \[ A = 200 × 150 = 30000 \, mm^2 \] The area of the floor is \(30000 \, mm^2\). Send me the next one 📸