There is a slide in the park. One of its side walls has been painted in the same colour with a message “KEEP THE PARK GREEN AND CLEAN” (see the given figure). If the sides of the wall are 15m, 11m, and 6m, find the area painted in colour.
It can be observed that the area to be painted in colour is a triangle, having its sides as 11 m, 6 m, and 15 m.
Perimeter of such a triangle = (11 + 6 + 15) m
2 s = 32 m
s = 16 m
By Heron’s formula,
`"Area of Triangle "=sqrt(s(s-a)(s-b)(s-c))`
`"Therefore, the area painted in colour is "20sqrt2m^2`
Concept: Area of a Triangle by Heron's Formula
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