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.

AnswerscorrectIy Jul 22, 2024

#1**+1 **

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! :)

NotThatSmart Jul 22, 2024

#2**+1 **

A rhombus with an angle of \(90^\circ\) 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 \(90^\circ \)then all of the angles are \(90^\circ \). Which means the area is \(12^2 = 144\)

CrimsonLots503 Jul 22, 2024