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
To find the area of a kite, we use the formula: Area = (1)/(2) × d_1 × d_2 where d_1 and d_2 are the lengths of the diagonals. A) Step 1: Identify the lengths of the diagonals for kite A. The horizontal diagonal (d_1) is 3 cm + 3 cm = 6 cm. The vertical diagonal (d_2) is 3 cm + 5 cm = 8 cm. Step 2: Substitute the diagonal lengths into the area formula. Area_A = (1)/(2) × 6 cm × 8 cm Step 3: Calculate the area. Area_A = (1)/(2) × 48 cm^2 = 24 cm^2 The area of kite A is 24 cm^2. B) Step 1: Identify the lengths of the diagonals for kite B. The horizontal diagonal (d_1) is 4 cm + 7 cm = 11 cm. The vertical diagonal (d_2) is 5 cm + 5 cm = 10 cm. Step 2: Substitute the diagonal lengths into the area formula. Area_B = (1)/(2) × 11 cm × 10 cm Step 3: Calculate the area. Area_B = (1)/(2) × 110 cm^2 = 55 cm^2 The area of kite B is 55 cm^2. Drop the next question.