A parallelogram, a rectangle and a triangular region stand on the same base and between the same parallels. If their areas are , and respectively, then
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let the common base be and the distance between the same parallel lines (height) be .
The area of a parallelogram is given by:
A rectangle is also a parallelogram, so its area is:
The area of a triangle is given by:
From these equations, we get:
The area of a parallelogram is given by:
A rectangle is also a parallelogram, so its area is:
The area of a triangle is given by:
From these equations, we get: