there is a slide in a park. One of its side walls has been painted in some colour with a message "keep the park clean and green if the sides of the wall are 1511 and 6 cm find the area painted in colour

Asked by kynarahman | 20th Aug, 2020, 07:53: PM

Expert Answer:

Sides of the wall are 15m, 11m and 6 m
So, the which is to be painted in colour will be equal to the area of triangle with sides 15m, 11m and 6 m


Let the sides of the triangular wall are a = 15 m, b = 11 m & c = 6 m.

Now, semi Perimeter of the ∆ = (a+b+c) /2

Semi perimeter of triangular wall (s) = (15 + 11 + 6)/2 m = 16 m

We can use Heron's formula to find the area of the wall

Area space of space the space wall space equals space square root of straight s space left parenthesis straight s minus straight a right parenthesis space left parenthesis straight s minus straight b right parenthesis space left parenthesis straight s minus straight c right parenthesis end root space space
equals space square root of 16 left parenthesis 16 space – space 15 right parenthesis space left parenthesis 16 space – space 11 right parenthesis space left parenthesis 16 space – space 6 right parenthesis end root space space
equals space square root of 16 space cross times space 1 space cross times space 5 space cross times space 10 end root space
equals space square root of 4 cross times 4 cross times 5 cross times 5 cross times 2 end root space
equals space 4 cross times 5 square root of 2 space space
equals space 20 square root of 2 space straight m ² space space
Hence comma space the space area space painted space in space colour space is space 20 square root of 2 space straight m squared.

Answered by Renu Varma | 24th Aug, 2020, 12:16: PM

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