Calculate the area of the composite shapes shown below. Round your answers to two decimal places.

Welcome back Mimi — missed you this week. Here are the areas for each figure: 1) Step 1: Divide the shape into a rectangle and a semicircle. The rectangle has a width of 8 ft and a height of 12 ft. The semicircle has a diameter of 8 ft, so its radius is r = (8)/(2) = 4 ft. Step 2: Calculate the area of the rectangle. A_rectangle = length × width = 12 ft × 8 ft = 96 ft^2 Step 3: Calculate the area of the semicircle. The area of a full circle is r^2. The area of a semicircle is (1)/(2) r^2. A_semicircle = (1)/(2) (4 ft)^2 = (1)/(2) (16 ft^2) = 8 ft^2 ≈ 8 × 3.14159 ft^2 ≈ 25.1327 ft^2 Step 4: Add the areas to find the total area. A_total = A_rectangle + A_semicircle = 96 ft^2 + 25.1327 ft^2 = 121.1327 ft^2 Step 5: Round to two decimal places. A_total ≈ 121.13 ft^2 The area is 121.13 ft^2. 2) Step 1: Divide the shape into a rectangle and a triangle. The rectangle has a length of 13 in and a width of 8 in. The total length of the figure is 19 in. The length of the rectangular part is 13 in. The base of the triangle is 8 in (same as the width of the rectangle). The height of the triangle is 19 in - 13 in = 6 in. Step 2: Calculate the area of the rectangle. A_rectangle = length × width = 13 in × 8 in = 104 in^2 Step 3: Calculate the area of the triangle. A_triangle = (1)/(2) × base × height = (1)/(2) × 8 in × 6 in = 24 in^2 Step 4: Add the areas to find the total area. A_total = A_rectangle + A_triangle = 104 in^2 + 24 in^2 = 128 in^2 The area is 128.00 in^2. 3) Step 1: Divide the T-shaped figure into two rectangles. Rectangle 1 (top horizontal part): length 11 cm, height 4 cm. Rectangle 2 (bottom vertical part): length 5 cm, height 5 cm. Step 2: Calculate the area of Rectangle 1. A_rectangle 1 = 11 cm × 4 cm = 44 cm^2 Step 3: Calculate the area of Rectangle 2. A_rectangle 2 = 5 cm × 5 cm = 25 cm^2 Step 4: Add the areas to find the total area. A_total = A_rectangle 1 + A_rectangle 2 = 44 cm^2 + 25 cm^2 = 69 cm^2 The area is 69.00 cm^2. 4) Step 1: Divide the shape into a semicircle and a triangle. The semicircle has a diameter of 8 ft, so its radius is r = (8)/(2) = 4 ft. The triangle has a base of 8 ft and a height of 7 ft. Step 2: Calculate the area of the semicircle. A_semicircle = (1)/(2) r^2 = (1)/(2) (4 ft)^2 = (1)/(2) (16 ft^2) = 8 ft^2 ≈ 25.1327 ft^2 Step 3: Calculate the area of the triangle. A_triangle = (1)/(2) × base × height = (1)/(2) × 8 ft × 7 ft = 28 ft^2 Step 4: Add the areas to find the total area. A_total = A_semicircle + A_triangle = 25.1327 ft^2 + 28 ft^2 = 53.1327 ft^2 Step 5: Round to two decimal places. A_total ≈ 53.13 ft^2 The area is 53.13 ft^2. 5) Step 1: Divide the shape into a rectangle and a triangle. The rectangle has a length of 7 m and a width of 7 m. The total length of the figure is 11 m. The length of the rectangular part is 7 m. The base of the triangle is 7 m (same as the width of the rectangle). The height of the triangle is 11 m - 7 m = 4 m. Step 2: Calculate the area of the rectangle. A_rectangle = length × width = 7 m × 7 m = 49 m^2 Step 3: Calculate the area of the triangle. A_triangle = (1)/(2) × base × height = (1)/(2) × 7 m × 4 m = 14 m^2 Step 4: Add the areas to find the total area. A_total = A_rectangle + A_triangle = 49 m^2 + 14 m^2 = 63 m^2 The area is 63.00 m^2. 6) Step 1: Divide the L-shaped figure into two rectangles. Rectangle 1 (bottom right): length 12 yd, height 6 yd. Rectangle 2 (top left): length 6 yd, height 6 yd (total height on the left is 6+6=12 yd, and the right side is 6 yd, so the top left part has a height of 12-6=6 yd). Step 2: Calculate the area of Rectangle 1. A_rectangle 1 = 12 yd × 6 yd = 72 yd^2 Step 3: Calculate the area of Rectangle 2. A_rectangle 2 = 6 yd × 6 yd = 36 yd^2 Step 4: Add the areas to find the total area. A_total = A_rectangle 1 + A_rectangle 2 = 72 yd^2 + 36 yd^2 = 108 yd^2 The area is 108.00 yd^2. Send me the next one 📸