Look at the rhombus in the figure.
What is its area?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Look at the rhombus in the figure.
What is its area?
First, let's remember that according to the properties of a rhombus, all sides of a rhombus are equal,
Therefore, if we define the sides of the rhombus with the letters ABCD,
We can argue that:
AB=BC=CD=DA
We use the perimeter formula:
50 = AB+BC+CD+DA
And we can conclude that
4AB=50
(We can also use any other side, it doesn't matter in this case because they are all equal.)
We divide by four and reveal that:
AB=BC=CD=DA = 12.5
Now let's remember the formula for the area of a rhombus: the height times the side corresponding to the height.
We are given the length of the external height 8,
Now, we can replace in the formula:
8*12.5=100
100 cm²
Calculate the area of the rhombus in the figure below:
Get unlimited access to all 18 Rhombus questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime