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: Identify the shape and its side length. The kitchen garden is in the shape of a square, and each side measures (2y+11). Step 2: Write the formula for the area of a square. The area A of a square with side length s is given by A = s^2. Substitute the given side length: A = (2y+11)^2 Step 3: Apply the quadratic identity (a+b)^2 = a^2 + 2ab + b^2. In this expression, a = 2y and b = 11. Substitute these values into the identity: A = (2y)^2 + 2(2y)(11) + (11)^2 Step 4: Simplify each term. (2y)^2 = 4y^2 2(2y)(11) = 44y (11)^2 = 121 Step 5: Combine the simplified terms to get the area. A = 4y^2 + 44y + 121 The area of the kitchen garden is: 4y^2 + 44y + 121 That's 2 down. 3 left today — send the next one.