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's how to solve the problem: Step 1: Understand the problem. The problem states that 1225 plants are to be arranged in a garden such that the number of rows is equal to the number of plants in each row. This means if there are x rows, there are also x plants in each row. Step 2: Formulate the equation. The total number of plants is the product of the number of rows and the number of plants in each row. Total plants = (Number of rows) × (Number of plants in each row) Since the number of rows and plants per row are the same, let this number be x. 1225 = x × x 1225 = x^2 Step 3: Solve for x. To find x, we need to calculate the square root of 1225. x = sqrt(1225) We can find the square root by prime factorization or by estimation. Let's use prime factorization: 1225 ends in 5, so it's divisible by 5: 1225 = 5 × 245 245 also ends in 5: 245 = 5 × 49 49 is 7 × 7: 49 = 7^2 So, 1225 = 5 × 5 × 7 × 7 = 5^2 × 7^2 = (5 × 7)^2 = 35^2. x = sqrt(35^2) x = 35 Step 4: State the conclusion. The number of plants in each row is 35. The number of plants in each row is 35. That's 2 down. 3 left today — send the next one.