Question

A man has a plot in the shape of a parallelogram with all of its angles equal to ${90}^{\circ }$, and only its opposite sides are equal. What is the exact shape of the plot?

• A. Triangle
  
• B. Rectangle
  
• C. Rhombus
  
• D. Square
  

Answer 1

The correct option is B Rectangle


Option A
The opposite sides of a rectangle are equal and parallel, which makes it a parallelogram as well. All its angles are equal to ${90}^{\circ }$.
Option A is correct.

Option B
A square is a parallelogram with sides of equal length and all angles equal to ${90}^{\circ }$.
Option B is incorrect.

Option C
A triangle is not a parallelogram as it is a closed shape with 3 sides.
Option C is incorrect.

Option D
A rhombus is also a parallelogram, but its angles are not equal to ${90}^{\circ }$.
Option D is incorrect.

Hence, the correct answer is a rectangle.