IKMC 2027 - Grades 7-8 - Self-study SET 1 - Thematic Batch 3 Question 24

In the figure, $AD\parallel BC$. The corresponding side lengths are $x,y,z,t$. They are natural numbers satisfying $x+y+z+t=16$. Find $y$.

Editorial note: Use the intended nondegenerate trapezoid shown, with AD longer than BC. Without that order, the printed algebraic conditions alone do not determine the stated answer.