A lawn has four sides of equal lengths. There are brick laid paths along the diagonals of the lawn. The paths are perpendicular to each other. One path is longer than the other. What is the shape of the lawn?

trapezoid
kite
square
rhombus

Question

A lawn has four sides of equal lengths. There are brick laid paths along the diagonals of the lawn. The paths are perpendicular to each other. One path is longer than the other.   What is the shape of the lawn? 
 

 trapezoid
 kite
 square
 rhombus

anonymous · Answer

Trapezoid and kite have different side lengths, so they can be discarded.

Diagonals of a square are congruent, so discard that one.

I guess what's left is a rhombus (quadrilateral with four equal sides).

anonymous · Answer

That sounds about right to me! Thanks :)

anonymous · Answer

Note that a more general categorization of a rhombus is a parallelogram.