4 cm
information given |---------|
rectangle- 4 cm 6 cm 9 cm | |
triangle- 5 cm 9 cm | | 6 cm
(trapezoid) |--------/
Find the area of the quadrilateral--> | /
| / 5 cm
| /
| /
To find the area of the quadrilateral, we need to find the areas of the rectangle and the triangle separately and then add them together.
Area of Rectangle:
Length = 9 cm
Width = 4 cm
Area = length x width
Area = 9 cm x 4 cm
Area = 36 cm²
Area of Triangle:
Base = 6 cm
Height = 5 cm
Area = 0.5 x base x height
Area = 0.5 x 6 cm x 5 cm
Area = 15 cm²
Now, add the areas of the rectangle and the triangle to find the area of the quadrilateral:
Area of Quadrilateral = Area of Rectangle + Area of Triangle
Area of Quadrilateral = 36 cm² + 15 cm²
Area of Quadrilateral = 51 cm²
Therefore, the area of the quadrilateral is 51 cm².