Find the area of the shape below, the area of the shape shaded portion

Here are the solutions to the problems: Question 1: Area of the I-shape The dimensions for the I-shaped figure are not provided in the image, so its area cannot be calculated. Question 2: Area of the circular segment This shape consists of a sector of a circle with a triangle removed. The radius of the sector is r = 9 cm. The central angle is = 90^. The triangle formed by the two radii and the chord is a right-angled triangle with legs of 9 cm each. Step 1: Calculate the area of the sector. Area of sector = ()/(360^) r^2 Area of sector = (90^)/(360^) (9 cm)^2 Area of sector = (1)/(4) (81 cm^2) Area of sector = (81)/(4) cm^2 Step 2: Calculate the area of the triangle. Area of triangle = (1)/(2) × base × height Since it's a right-angled triangle with legs as radii: Area of triangle = (1)/(2) × 9 cm × 9 cm Area of triangle = (81)/(2) cm^2 Area of triangle = 40.5 cm^2 Step 3: Calculate the area of the shaded portion (segment). Area of segment = Area of sector - Area of triangle Area of segment = ((81)/(4) - 40.5) cm^2 Using ≈ 3.14159: Area of segment ≈ ((81 × 3.14159)/(4) - 40.5) cm^2 Area of segment ≈ (63.617 - 40.5) cm^2 Area of segment ≈ 23.117 cm^2 The area of the circular segment is ((81)/(4) - 40.5) cm^2 ≈ 23.12 cm^2. Question 3: Area of the L-shaped shaded portion The L-shaped figure can be divided into two rectangles. Step 1: Identify the dimensions of the first rectangle (vertical part). Height = 8 cm Width = 4 cm Area_1 = 8 cm × 4 cm = 32 cm^2 Step 2: Identify the dimensions of the second rectangle (horizontal part). Height = 4 cm Width = 4 cm Area_2 = 4 cm × 4 cm = 16 cm^2 Step 3: Calculate the total area of the shaded portion. Total Area = Area_1 + Area_2 Total Area = 32 cm^2 + 16 cm^2 Total Area = 48 cm^2 The area of the shaded L-shaped portion is 48 cm^2. Question 4: Height of the trapezium Given: Area of trapezium (A) = 152 cm² Parallel sides (a and b) = 6 cm and 8 cm Step 1: Write the formula for the area of a trapezium. A = (1)/(2) (a+b) h Step 2: Substitute the given values into the formula. 152 cm^2 = (1)/(2) (6 cm + 8 cm) h 152 cm^2 = (1)/(2) (14 cm) h 152 cm^2 = 7 cm · h Step 3: Solve for the height (h). h = 152 cm^27 cm h = (152)/(7) cm h ≈ 21.71 cm The height of the trapezium is (152)/(7) cm ≈ 21.71 cm. Question 5: Base of the triangle Given: Area of triangle (A) = 84 cm² Height (h) = 19 cm Step 1: Write the formula for the area of a triangle. A = (1)/(2) × base × height Step 2: Substitute the given values into the formula. 84 cm^2 = (1)/(2) × base × 19 cm Step 3: Solve for the base. 84 cm^2 × 2 = base × 19 cm 168 cm^2 = base × 19 cm base = 168 cm^219 cm base = (168)/(19) cm base ≈ 8.84 cm The base of the triangle is (168)/(19) cm ≈ 8.84 cm. Send me the next one 📸