4 cm

6 cm
9 cm
5 cm
Rectangle with a triangle on the bottom with one 90 degree angle
What is the area of the quadrilateral?

1 answer

To find the area of the quadrilateral, we first need to find the individual areas of the rectangle and triangle, and then add them together.

Area of the rectangle = length × width
Area of rectangle = 9 cm × 6 cm = 54 cm²

To find the area of the triangle, we use the formula:

Area of triangle = (base × height) / 2
Area of triangle = (4 cm × 5 cm) / 2 = 20 cm²

Now we add the areas together:

Total area of the quadrilateral = area of rectangle + area of triangle
Total area = 54 cm² + 20 cm² = 74 cm²

Therefore, the area of the quadrilateral is 74 cm².