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 properties of a kite. A kite is a quadrilateral where two pairs of equal-length sides are adjacent to each other. This means if one pair of adjacent sides has lengths a and b, then the other pair of adjacent sides will also have lengths a and b. Therefore, a kite has two sides of length a and two sides of length b. Step 2: Use the given side lengths. The adjacent sides are given as 7 cm and 9 cm. So, we have two sides of length 7 cm and two sides of length 9 cm. Step 3: Calculate the perimeter. The perimeter of a polygon is the sum of the lengths of all its sides. P = 2 × (length of one side) + 2 × (length of the other side) P = 2(7 cm) + 2(9 cm) P = 14 cm + 18 cm P = 32 cm The perimeter of the kite is 32 cm.