Question

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.

Answer 1

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Answer 2

Sides of the triangular wall are 15 m, 11 m and 6 m.
Semi perimeter of triangular wall (s) = (15 + 11 + 6)/2 m = 16 m
Using heron's formula, 
Area of the message = √s (s-a) (s-b) (s-c)
                                       = √16(16 - 15) (16 - 11) (16 - 6) m2
                                       = √16 × 1 × 5 × 10 m2 = √800 m2
                                       = 20√2 m2