To find the area of a quadrilateral, you can break it down into two triangles and calculate the area of each triangle separately. Then add the areas of the two triangles together to get the total area of the quadrilateral.
In this case, the dimensions of the quadrilateral are given as:
Base: 24 cm
Height: 10 cm and 20 cm
First, calculate the area of the triangle with base 24 cm and height 10 cm:
Area of the first triangle = (1/2) * base * height
Area of the first triangle = (1/2) * 24 cm * 10 cm
Area of the first triangle = 120 cm^2
Next, calculate the area of the second triangle with base 24 cm and height 20 cm:
Area of the second triangle = (1/2) * base * height
Area of the second triangle = (1/2) * 24 cm * 20 cm
Area of the second triangle = 240 cm^2
Now, add the areas of the two triangles together to find the total area of the quadrilateral:
Total area = Area of first triangle + Area of second triangle
Total area = 120 cm^2 + 240 cm^2
Total area = 360 cm^2
Therefore, the total area of the quadrilateral is 360 cm^2, which can be represented as 360c * m^2. None of the options you provided match this calculation, so the correct answer is not among the options you provided.
What is the area of the quadrilateral? (1 point) 480c * m ^ 2; 220c * m ^ 2; 240c * m ^ 2; 460c * m ^ 2 24cm 10cm 20cm
1 answer