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
Here are the perimeters for each figure: Step 1: Calculate the perimeter of the rectangle (top left figure). The rectangle has a length of 24 cm and a width of 16 cm. The perimeter P is given by P = 2(L + W). P = 2(24 cm + 16 cm) P = 2(40 cm) P = 80 cm Step 2: Calculate the perimeter of the house-like shape (top right figure). The outer sides are 4 cm (bottom), 6 cm (left vertical), 4 cm (top left slant), 4 cm (top right slant), and 6 cm (right vertical). P = 4 cm + 6 cm + 4 cm + 4 cm + 6 cm P = 24 cm Step 3: Calculate the perimeter of the triangle (middle left figure). The base is 9 cm. The tick marks indicate that the other two sides are equal. Assuming it is an equilateral triangle, all sides are 9 cm. P = 9 cm + 9 cm + 9 cm P = 27 cm Step 4: Calculate the perimeter of the rectangle (middle figure, below the triangle). The figure shows a rectangle with a top side of 12 cm and a right side of 4 cm. The internal lines are not part of the outer perimeter. The perimeter P is given by P = 2(L + W). P = 2(12 cm + 4 cm) P = 2(16 cm) P = 32 cm Step 5: Calculate the perimeter of the trapezoid (middle right figure). The sides are 1.5 cm (top), 10 cm (left slant), 3 cm (bottom), and 10 cm (right slant). P = 1.5 cm + 10 cm + 3 cm + 10 cm P = 24.5 cm Step 6: Calculate the perimeter of the kite (