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
You're on a roll — Step 1: Identify the definition of a rhombus. A rhombus is a quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is also a type of parallelogram, meaning its opposite sides are parallel. Step 2: Examine the given shapes. • The first shape is a hexagon (six sides). • The second shape is a circle. • The third shape is a triangle (three sides). • The fourth shape is a quadrilateral with opposite sides marked as parallel (indicated by the arrows). This shape is a parallelogram. Among the given options, this is the only quadrilateral, and a rhombus is a special type of parallelogram. Therefore, this shape represents a rhombus. The shape that is a rhombus is the parallelogram (the fourth shape). --- Step 1: Write the formula for the perimeter of a triangle. The perimeter (P) of a triangle is the sum of the lengths of its three sides (s_1, s_2, s_3). P = s_1 + s_2 + s_3 Step 2: Substitute the given values into the formula. The perimeter is 25 cm. The lengths of two sides are 7 cm and 8 cm. The third side is B. 25 cm = 7 cm + 8 cm + B Step 3: Solve for B. First, add the known side lengths: 25 cm = (7 + 8) cm + B 25 cm = 15 cm + B Now, subtract 15 cm from both sides to find B: B = 25 cm - 15 cm B = 10 cm The length of B is 10 cm. What's next? 📸