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 perimeter of the given shape, we need to sum the lengths of all its sides. Step 1: Identify the components of the perimeter. The image shows a shape with three straight sides and one curved side. We assume the shape is composed of three sides of a square and a semi-circular base. The top straight side is given as 25 cm. Based on the drawing, the two vertical straight sides are also 25 cm each. The bottom curved side appears to be a semi-circle with a diameter equal to the length of the top side, which is 25 cm. Step 2: Calculate the total length of the straight sides. There are three straight sides, each measuring 25 cm. Total length of straight sides = 3 × 25 cm = 75 cm Step 3: Calculate the length of the curved side (semi-circle arc). The formula for the circumference of a full circle is C = d, where d is the diameter. For a semi-circle, the arc length is half of the full circumference. The diameter of the semi-circle is 25 cm. Arc length = (1)/(2) × × d Arc length = (1)/(2) × × 25 cm Arc length = 12.5 cm Using the approximation ≈ 3.14159: Arc length ≈ 12.5 × 3.14159 cm ≈ 39.27 cm Step 4: Calculate the total perimeter. The total perimeter is the sum of the lengths of the straight sides and the curved side. Perimeter = Total length of straight sides + Arc length Perimeter = 75 cm + 12.5 cm Substituting the approximate value for the arc length: Perimeter ≈ 75 cm + 39.27 cm Perimeter ≈ 114.27 cm The perimeter of the shape is 114.27 cm. That's 2 down. 3 left today — send the next one.