Question

There is a slide in a park. One of its side Company hired one of its walls for 3 months.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 6m, find the area painted in colour.​

Answer 1

$\huge{\underline{\underline{\sf{\pink{Answer:-}}}}}$

Let the sides of the wall be

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

${\blue{\sf\underline{Semi-perimeter,}}}$

$s = \frac{a + b + c}{2}$

$= \frac{15 + 11 + 6}{2} m$

$= \frac{32}{2} m$

$= 16m$

now,area of the triangular surface of the wall,

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

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

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

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

$= 20 \sqrt{2} \: {m}^{2}$

hence,the required area painted in colour is 20√2 m²