Shown is a quadrilateral ABCD which is
divided into two triangles.

The triangle ABC has a perimeter of 320mm and the sides AC
and BC are in a ratio of 4:3 respectively.

The triangle ACD is equal in area to the triangle ABC and
the sides AD and CD are equal in length.

**(a)** Draw the given figure, showing clearly the
constructions required to locate the points C and D.

Draw a square, which shall have 0.75 times
the area of the figure ABCD.

**(b)** *All constructions must be clearly shown on
the sheet.*