Question

there is a slide in a park. one of its side walls has been painted in some with a message "KEEP THE PARK GREEN AND CLEAN" If the sides of walls are in 12:17:25 and perimeter is 540m. Find the area painted in colour. which value is depicted by the message?

Answer 1

answer is 9000cm square

Answer 2

ratio of side = 12:17:25
let the common ratio be x then side are 12x ,17x and 25x
perimeter =540cm
12x +17x+25x=540cm
54x =540cm
x=10 cm
so sides are
12 x=12*10=120cm
similarly 17x=170cm
and 25x=250cm
semi perimeter =540/2=270cm
using herons formula
s(s-a) (s-b) (s-c)
270(270-120)(270-170)(270-250)
270*180*100*20cmsquare
=9000cm. square

hope it's helps you