Question

I NEED HELP ASAP Find the area of the trapezoid by decomposing it into other shapes.

Answer 1

Answer:

Area of the trapezoid is 38 cm²

Step-by-step explanation:

• Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.

• Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²

• Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth

Area of rectangle, A2 = 4 * 6 = 24 cm²

• Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²

• Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²