(Information given)

rectangle- 4 cm 6 cm
triangle- 5 cm 3 cm 4 cm
(trapezoid)
what is the area of the quadrilateral?

1 answer

To find the area of the quadrilateral, we can break it down into simpler shapes and then add their areas together.

The quadrilateral can be split into a rectangle and a triangle.

Area of rectangle = length x width
Area of rectangle = 4 cm x 6 cm
Area of rectangle = 24 cm²

Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 5 cm x 3 cm
Area of triangle = 7.5 cm²

Therefore, the total area of the quadrilateral is the sum of the areas of the rectangle and the triangle:
Total area = 24 cm² + 7.5 cm²
Total area = 31.5 cm²

So, the area of the quadrilateral is 31.5 cm².