Calculate the perimeter of the L-shaped figure A and the T-shaped figure B.

Another one Precious — let's solve it. 4.1 Step 1: Identify all side lengths of the L-shaped figure. The given sides are 4 cm, 1 cm, 1 cm, and 3 cm. There are two missing sides. The total vertical length on the left is 4 cm. The visible vertical segment on the right is 1 cm. Therefore, the hidden vertical segment is 4 cm - 1 cm = 3 cm. The total horizontal length at the bottom is 3 cm. The visible horizontal segment at the top is 1 cm. Therefore, the hidden horizontal segment is 3 cm - 1 cm = 2 cm. Step 2: Calculate the perimeter by summing all outer side lengths. P = 4 cm + 1 cm + 2 cm + 1 cm + 3 cm + 3 cm P = 14 cm The perimeter of figure A is 14 cm. 4.2 Step 1: Identify all side lengths of the T-shaped figure. The given sides are 5 cm, 0.5 cm, 3.5 cm, and 3 cm. Due to symmetry, the other small vertical side is 0.5 cm, and the other main vertical side is 3.5 cm. The top horizontal length is 5 cm and the bottom horizontal length is 3 cm. The two small horizontal segments connecting the top and bottom parts are equal. Length of each small horizontal segment = 5 cm - 3 cm2 = 2 cm2 = 1 cm. Step 2: Calculate the perimeter by summing all outer side lengths. P = 5 cm + 0.5 cm + 1 cm + 3.5 cm + 3 cm + 3.5 cm + 1 cm + 0.5 cm P = 18 cm The perimeter of figure B is 18 cm. 4.3 Step 1: Convert all units to centimeters. The top side is 90 cm. The right slant side is 86.02 cm. The bottom base consists of three segments: 500 mm, 90 cm, and 500 mm. Convert 500 mm to centimeters: 500 mm = 50 cm. The total bottom base length is 50 cm + 90 cm + 50 cm = 190 cm. Step 2: Calculate the length of the left slant side. The figure shows a right-angled triangle on the left with a base of 50 cm and a height of 70 cm. Use the Pythagorean theorem: a^2 + b^2 = c^2. c = sqrt((50 cm))^2 + (70 cm)^2 c = sqrt(2500 cm)^2 + 4900 cm^2 c = sqrt(7400 cm)^2 c ≈ 86.023 cm Rounding to two decimal places, the left slant side is approximately 86.02 cm. Step 3: Calculate the perimeter by summing all four side lengths. P = top side + bottom side + left slant side + right slant side P = 90 cm + 190 cm + 86.02 cm + 86.02 cm P = 452.04 cm The perimeter of the trapezium is 452.04 cm. 4.4 Step 1: Identify the components of the figure and state assumptions. The figure consists of a rectangular base and a semicircle on top. The vertical side of the rectangular part is given as 47 mm. Assumption: Since no other horizontal dimension is given, we assume the rectangular part is a square, meaning its width is also 47 mm. This width is also the diameter of the semicircle. Step 2: Calculate the perimeter. The perimeter consists of: • Two vertical sides of the rectangle: 47 mm + 47 mm • The bottom horizontal side of the rectangle: 47 mm (based on assumption) • The arc length of the semicircle: (1)/(2) × × diameter P = 47 mm + 47 mm + 47 mm + (1)/(2) (47 mm) P = 141 mm + (47)/(2) mm P ≈ 141 mm + 23.5 × 3.14159 mm P ≈ 141 mm + 73.827365 \