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.
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c) The shape is a triangle with side lengths 3 cm, 4 cm, and 5 cm. Step 1: Identify the formula for the perimeter of a triangle. The perimeter P of a triangle with side lengths a, b, and c is given by: P = a+b+c Step 2: Substitute the given side lengths into the formula. P = 3 cm + 4 cm + 5 cm Step 3: Calculate the perimeter. P = 12 cm The perimeter of the triangle is 12 cm. d) The shape is a circle with a radius of 3 cm. Step 1: Identify the formula for the perimeter (circumference) of a circle. The circumference C of a circle with radius r is given by: C = 2 r Step 2: Substitute the given radius into the formula. C = 2 × × 3 cm Step 3: Calculate the circumference. C = 6 cm Using ≈ 3.14159: C ≈ 6 × 3.14159 cm C ≈ 18.85 cm The perimeter (circumference) of the circle is 6 cm or approximately 18.85 cm. That's 2 down. 3 left today — send the next one.