Question

There is a slide in the park. One of its side walls has been painted in some 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.

Answer 1

It can be observed that the area to be painted in colour is a triangle, with sides of 11 m, 6 m, and 15 m.

Perimeter of such a triangle = (11 + 6 + 15) m

2 s = 32 m

s = `32/2 m`

s = 16 m

By Heron’s formula,

Area of Triangle = `sqrt(s(s-a)(s-b)(s-c))`

= `[sqrt(16(16-11)(16-6)(16-15))]m^2`

= `(sqrt(16xx5xx10xx1))m^2`

= `20sqrt2m^2`

Therefore, the area painted in colour is `20sqrt2m^2`.