In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $90^\circ.$ Find the area of the rhombus.
I believe the rhombus is a square for main reasons.
For one thing, the opposite angles of a rhombus are 90 degrees, so we have two 90 degree angles.
The adjacent angle also should be 90 degrees, so all 4 angles are 90 degrees.
Therefore, we just have a square.
We have 12∗12=144
So the area is 144.
Thanks! :)
A rhombus with an angle of 90∘ is the same as a square. Since the sides of a rhombus are all of equal length and the opposing angles are equal. If one of the angles are 90∘then all of the angles are 90∘. Which means the area is 122=144