Area of the Quadrilateral

Consider the - following statements in respect of a quadrilateral : 1. The line segments joining the midpoints of the two pairs of opposite sides bisect each other at the point of intersection. 2. The area of the quadrilateral formed by joining the midpoints of the four adjacent sides is half of the total area of the quadrilateral. Which of the statements given above is/are correct ?

Find the area of these quadrilaterals.

Find the area of these quadrilaterals.

Find the area of these quadrilaterals.

If the area of a quadrilateral formed by the points (a,a) ,(-a,a),(a,-a) and (-a,-a), where a ne 0 is 64 square units, then identify the type of the quadrilateral. Find all possible values of a.

A quadrilateral has a diagonal of 26 cm. The lengths of perpendiculars on this diagonal from opposite vertices is 13 cm and 7 cm. Find the area of this quadrilateral.

Find the area of given quadrilateral."

What is the maximum possible area of a quadrilateral with a perimeter of 80 centimeters?