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 the problems. Problem 1: A square drawn below has an area of 144 cm^2. What is the perimeter of the figure? Step 1: Find the side length of the square. The area of a square is given by the formula A = s^2, where s is the side length. We are given A = 144 cm^2. s^2 = 144 cm^2 s = sqrt(144 cm)^2 s = 12 cm Step 2: Calculate the perimeter of the square. The perimeter of a square is given by the formula P = 4s. P = 4 × 12 cm P = 48 cm The perimeter of the figure is 48 cm. Problem 2: There are 12 oranges, 16 apples and 24 lemons in a basket. Find the least number which can be divided by the fruits. This question asks for the least common multiple (LCM) of the number of fruits. Step 1: Find the prime factorization of each number. 12 = 2 × 2 × 3 = 2^2 × 3^1 16 = 2 × 2 × 2 × 2 = 2^4 24 = 2 × 2 × 2 × 3 = 2^3 × 3^1 Step 2: Calculate the LCM. To find the LCM, take the highest power of each prime factor present in the numbers. The prime factors are 2 and 3. The highest power of 2 is 2^4 (from 16). The highest power of 3 is 3^1 (from 12 and 24). LCM(12, 16, 24) = 2^4 × 3^1 LCM = 16 × 3 LCM = 48 The least number which can be divided by the fruits is 48. Send me the next one 📸