please answer this quest 21
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Step-by-step explanation:
perimeter = 600m
let y be the variable
5y+12y+13y = 600m
30y = 600m
y = 600/30
y = 20
sides,
side 1 = 5y = 5 x 20 = 100m
side 2 = 12y = 12 x 20 = 240m
side 3 = 13y = 13 x 20 = 260m
Area of the triangular plot :
= apply heron's formula(because no base and height is mentioned)
s=(a + b+ c)/2
(100+240+260)/2
s=600/2
s=300
s - a = 300 - 100 = 200
s - b = 300 - 240 = 60
s - c = 300 - 260 = 40
heron's formula = square root of s(s-a)x(s-b)x(s-c)
square root 300 x 200 x 60 x 40
take the commen out
square root 3 x 100 x 2 x 100 x 3 x 2 x 10 x 2 x2 x 10
=3 x 2 x 100 x 10 x 2
area of the triangular plot = 12000m xm
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