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
Hey Mercy, good to see you again. Step 1: Define variables for the dimensions of the rectangle. Let w be the width of the rectangle in cm. Let l be the length of the rectangle in cm. Step 2: Express the length in terms of the width using the given information. "The length of a rectangle is 4cm more than twice its width." l = 2w + 4 Step 3: Write the formula for the perimeter of a rectangle and substitute the given perimeter. The perimeter P of a rectangle is given by P = 2(l + w). We are given that the perimeter is 40 cm. 2(l + w) = 40 Step 4: Substitute the expression for l from Step 2 into the perimeter equation from Step 3 and simplify. 2((2w + 4) + w) = 40 2(3w + 4) = 40 6w + 8 = 40 This is the equation to determine the dimensions of the rectangle. The equation to determine the dimensions of the rectangle is: 6w + 8 = 40 Send me the next one 📸