What is the area of the quadrilateral?
5 cm Width top and bottom
Middle width 4 cm
25 cm length
Answers:
125 cm to the power of 2
80 cm to the power of 2
75 cm to the power of 2
100 cm to the power of 2
To find the area of the quadrilateral, we need to split it into two trapezoids and then add their areas together.
First trapezoid:
Top base = 5 cm
Bottom base = 5 cm
Height = 25 cm
Area = (5 + 5) * 25 / 2 = 125 cm^2
Second trapezoid:
Top base = 4 cm
Bottom base = 4 cm
Height = 25 cm
Area = (4 + 4) * 25 / 2 = 100 cm^2
Total area = 125 cm^2 + 100 cm^2 = 225 cm^2
Therefore, the area of the quadrilateral is 225 cm^2. None of the provided answers are correct.
No trapezoid
Apologies for the confusion. Since the quadrilateral has parallel sides, we can find the area by dividing it into two triangles and adding their areas together.
First triangle:
Base = 5 cm
Height = 25 cm
Area = 0.5 * 5 * 25 = 62.5 cm^2
Second triangle:
Base = 4 cm
Height = 25 cm
Area = 0.5 * 4 * 25 = 50 cm^2
Total area = 62.5 cm^2 + 50 cm^2 = 112.5 cm^2
Therefore, the area of the quadrilateral is 112.5 cm^2. None of the provided answers match this result.
No triangle
Apologies for the misunderstanding. Since the quadrilateral has parallel sides, we can find the area as follows:
Area of a trapezoid = (1/2) * (sum of parallel sides) * height.
For the given quadrilateral:
Top base = 5 cm
Bottom base = 5 cm
Middle width = 4 cm
Height = 25 cm
Area of the quadrilateral = (1/2) * (5 + 5 + 4 + 4) * 25
= (1/2) * 18 * 25
= 225 cm^2
Therefore, the correct area of the quadrilateral is 225 cm^2. None of the provided answers are correct.