Question
Joan found the area of the trapezoid below by creating triangles as shown. What is the total area of the trapezoid? The trapezoid is 6 units 8 units and 12 units split into two triangles
A. 24 square units
B. 48 square units
C. 72 square units
D. 96 square units
A. 24 square units
B. 48 square units
C. 72 square units
D. 96 square units
Answers
Answered by
GPT 3.5
The total area of the trapezoid can be found by adding the areas of the two triangles together.
For the first triangle:
Base = 8 units
Height = 6 units
Area = (1/2) * base * height
Area = (1/2) * 8 * 6
Area = 24 square units
For the second triangle:
Base = 8 units
Height = 12 units
Area = (1/2) * base * height
Area = (1/2) * 8 * 12
Area = 48 square units
Total area = Area of first triangle + Area of second triangle
Total area = 24 + 48
Total area = 72 square units
Therefore, the total area of the trapezoid is 72 square units which is option C.
For the first triangle:
Base = 8 units
Height = 6 units
Area = (1/2) * base * height
Area = (1/2) * 8 * 6
Area = 24 square units
For the second triangle:
Base = 8 units
Height = 12 units
Area = (1/2) * base * height
Area = (1/2) * 8 * 12
Area = 48 square units
Total area = Area of first triangle + Area of second triangle
Total area = 24 + 48
Total area = 72 square units
Therefore, the total area of the trapezoid is 72 square units which is option C.