Question

draw a rough sketch of
a) A triangle and a parallelogram on the same base between the same parallels.
b) two parallelogram on the same base between the same parallels .​

Answer 1

The figures are attached as follows:

Explanation:

• a) Whenever a triangle and a parallelogram share the same base and same parallels, it is necessary to remember that in such a case the area of the triangle will always be half of the area of the parallelogram.

• As here, the area of triangle ABC will be half the area of the parallelogram ABCD because they are on the same base BC and the same parallels AD and BY.

• b) Whenever two parallelograms lie on the same base and between the same parallels, their areas are always equal.

• As in this case, the area of the parallelogram ABCD is equal to the area of the parallelogram EBCF because they stand on the same base BC and parallels AF and BC.