Question

In the figure É is the midpoint of AB
and F is the midpoint of AD If the
area of FAEC is 13 Square unit. Find
the area of the quadrilateral
ABCD.

Answer 1

Given:

In the figure É is the midpoint of AB and F is the midpoint of AD  

To find:

If the area of FAEC is 13 Square unit. Find the area of the quadrilateral ABCD.

Solution:

From given, we have,

É is the midpoint of AB and F is the midpoint of AD.

So, we have 2 equal triangles with the same area.

Therefore, the area of quadrilateral = 2 × Area of triangle

= 2 × 13

= 26

Area of the quadrilateral ABCD is 26 square units.