SOLUTION: A rhombus has sides that are each 12 decimeters in length. Which statement is true about this rhombus? a. The area of the rhombus is at least 144 square decimeters. b. The area o

Algebra ->  Parallelograms -> SOLUTION: A rhombus has sides that are each 12 decimeters in length. Which statement is true about this rhombus? a. The area of the rhombus is at least 144 square decimeters. b. The area o      Log On


   



Question 330588: A rhombus has sides that are each 12 decimeters in length. Which statement is true about this rhombus?
a. The area of the rhombus is at least 144 square decimeters.
b. The area of the rhombus is 144 square decimeters.
c. The area of the rhombus is at most 144 square decimeters.
d. The area of the rhombus is less than 144 square decimeters.
e. The area of the rhombus is 48 square decimeters.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There is an element of opinion as to the answer for this one. As far as I'm concerned a square is simply a special case of a rhombus since the only requirement for a quadrilateral to be classified as a rhombus is that the four sides be equal in measure. Any square with sides of 12 units will have an area that is 144 square units exactly. And rhombus that is not also a square that has sides of 12 units will have an area less than 144 square units. Hence, since the square case is allowed, answer c. On the other hand, if your instructor expects you to exclude squares, then answer d.


John

My calculator said it, I believe it, that settles it