IKMC 2027 - Grades 7-8 - Self-study SET 5 - Thematic Batch 3 Question 23

A trapezoidal plot has green, red, purple and yellow posts at its four corners, connected by ropes as shown.
– The green-red rope is parallel to the yellow-purple rope.
– The green-yellow rope is 12 m long.
– The green-purple rope is 15 m long.
– The green-purple rope is perpendicular to the red-yellow rope.
– The purple-yellow rope is perpendicular to the green-yellow rope.
Find the area of the whole plot and of the shaded part.