Question

In the figure given above, if the area of the triangle ABE = $43c{m}^2$; find the area of the parallelogram ABEF.

• A. $86c{m}^2$
• B. $88c{m}^2$
• C. $43c{m}^2$
• D. $54c{m}^2$

Answer 1

The correct option is A $86c{m}^2$

Since, the triangle and the parallelogram are on the same base and between the same parallels,the area of a parallelogram is twice to the area of the triangle.
Hence, area of parallelogram ABEF = $2\times 43$ $c{m}^2$
area of parallelogram ABEF= $86$ $c{m}^2$
Since, the triangle and the parallelogram are on the same base and between the same parallels,the area of a parallelogram is twice to the area of the triangle.
Hence, area of parallelogram ABCD = $2\times 43$ $c{m}^2$
area of parallelogram ABCD= $86$ $c{m}^2$
Since, both the triangles and the parallelogram are on the same base and between the same parallels,the area will be the same for both of them.
Hence, area of triangle AEF = $43$ $c{m}^2$