Question

the sides of triangular plot are in the ratio of 3:5:7 and its perimeter is 300m find its area

Answer 1

Answer:

Answer in the given attachment.

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Answer 2

Step-by-step explanation:

perimeter of triangle plot = Sum of all sides

300 = 3x+5x+7x

300 = 15x

15x = 300

x = 20 m

The sides are 60 m , 100 m & 140 m

Area of triangular plot

from Heron's formula -

Area = √S(S-a)(S-b)(S-c)

where S = a+b+c/2 = (60+100+140)/2

S = 300/2 = 150 m

Area = √150(150-60)(150-100)(150-140)

= √150*90*50*10

= √50*3*900*50

= √2500*900*3

= 50*30√3

= 1500√3 m²