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There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see Figure ). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.
Asked by Tushar Last Modified
Answer 
Gautam Pal
Maths Teacher for classes 6th to 10th with 6 years experience and having my own YouTube Channel for clearing doubts
Heron's Formula for the area of a triangle(Hero's Formula)
A method for calculating the area of a triangle when you know the lengths of all three sides.
Let a=15m,b=11m,c=6m be the lengths of the sides of a triangle. The area is given by:
Area = √p(p−a)(p−b)(p−c)
where p is half the perimeter, or (a+b+c)/2 = (15+11+6)/2 =16m
Therefore, Area = √16(16-15)(16-11)(16-6) = √16(1)(5)(10) =20√2 = 20 × 1.414 = 28.28 m²
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