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
Here are the solutions to your questions. 1. Step 1: Identify the dimensions of the rectangular lawn. The length of the lawn is L = 10 m. The width of the lawn is W = 4 m. Step 2: Determine which sides are to be fenced. The fencing is along the two smaller sides and one long side. The two smaller sides are the widths, each 4 m. One long side is 10 m. Step 3: Calculate the total length of these sides. Total length of sides to be fenced = (2 × W) + L = (2 × 4 m) + 10 m = 8 m + 10 m = 18 m Step 4: Account for the gap for the entrance. A gap of 1 m is left for the entrance. This means the actual fencing material needed is the total length of the sides minus the gap. Length of fencing = (Total length of sides to be fenced) - (length of gap) = 18 m - 1 m = 17 m The length of the fencing is 17 m. 2. Step 1: Calculate the original perimeter of the square. The original side of the square is s_1 = 10 cm. The formula for the perimeter of a square is P = 4 × s. Original perimeter P_1 = 4 × s_1 P_1 = 4 × 10 cm P_1 = 40 cm Step 2: Calculate the new side length and the new perimeter. The side of the square is doubled, so the new side length s_2 = 2 × s_1. s_2 = 2 × 10 cm s_2 = 20 cm The new perimeter P_2 = 4 × s_2 P_2 = 4 × 20 cm P_2 = 80 cm Step 3: Determine how many times the new perimeter became compared to the original perimeter. To find this, divide the new perimeter by the original perimeter. Ratio = (P_2)/(P_1) = 80 cm40 cm = 2 The new perimeter will become 2 times the original perimeter. Send me the next one 📸