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”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Solution

a = 15 m
b = 11 m
c = 6 m
$therefore space space space space space straight s equals fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction space space space space space space space space space equals space fraction numerator 15 plus 11 plus 6 over denominator 2 end fraction straight m space equals space 16 space straight m$
$therefore$ Area painted in colour
$equals square root of straight s left parenthesis straight s minus straight a right parenthesis left parenthesis straight s minus straight b left parenthesis straight s minus straight c right parenthesis end root equals square root of 16 left parenthesis 16 minus 15 right parenthesis left parenthesis 16 minus 11 right parenthesis left parenthesis 16 minus 6 right parenthesis end root space straight m squared equals space square root of 16 left parenthesis 1 right parenthesis left parenthesis 5 right parenthesis left parenthesis 10 right parenthesis end root space straight m squared space equals space 20 square root of 2 space straight m squared.$

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Statistics

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”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

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