The Hibiscus garden
In my housing society in Mumbai, we have a beautiful hibiscus garden. The four sides of the garden are known to be 20, 16, 12 and 10. And it is also known that it has the greatest possible area for those sides.
Can you find the area of the garden?
Image Credit: Flickr Rana Pipiens .
The answer is 194.4.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
A simple use of Brahmagupta's formula: the maximum area of a quadrilateral given the four side lengths.
The formula is: A = ( s − a ) ( s − b ) ( s − c ) ( s − d ) where s is the semi perimeter, and a, b, c, and d are the four side lengths of the quadrilateral.