Question

203
3.
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 Fig. 12.10 ). If the sides of the
wall are 15 m, 11 m and 6 m, find the area painted in colour.
6 m.
- 11 m
KEEP THE PARK
GREEN AND CLEAN
15 m​

Answer 1

Answer:

Let the sides of the wall be

a=15m, b=11m, c=6m

semi perimeter

$s = \frac{a + b + c}{2} = { \frac{15 + 11 + 6}{2} }m = \frac{32}{2} m = 16m$

Now area of the triangular surface of the wall,

$= \sqrt{s(s - a)(s - b)(s - c)}$

$= \sqrt{16(16 - 15)(16 - 11)(16 - 6)} {m}^{2}$

$= \sqrt{16 \times 1 \times 5 \times 10} {m}^{2}$

$= \sqrt{2 \times 400} {m}^{2}$

$= \sqrt[20]{2} {m}^{2}$

Thus, the required area painted in colour

$= \sqrt[20]{2} {m}^{2}$

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Answer 2

Hi there!

Your Answer :- 20√2 m²

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✍GIVEN✍

$<font color=black>$

Side A = 15m

Side B = 11m

Side C = 6m

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✍SOLUTION✍

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Apply Heron's Formula.

Semi Perimeter :-

(a+b+c)/2 = (15+11+6)/2 = 16.

Heron's Formula :-

$\large\tt\red{\sqrt{s(s - a)(s - b)(s - c)} }$

$\large \tt\blue{\sqrt{16(1)(5)(10)}}$

$\tt\green{\sqrt{2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 2} }$

$\large\tt\pink{2 \times 2 \times 5 \sqrt{2} }$

$\tt\gray{ 20 \sqrt{2} \: \: {m}^{2} }$