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in Mathematics by (106k points)

The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Its area is

(a) 15002 m2 (b) 1500 3 m2 (c) 1425 2 m2 (d) 1500 m2

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 (b) Suppose that the sides, in metres, are 3x, 5x and 7x 

Then, we know that 3x + 5x + 7x = 300 (perimeter of the triangle) 

Therefore, 15x = 300, which gives x = 20. 

So the sides of the triangle are 3 × 20 m, 5 × 20 m and 7 × 20 m 

i.e., 60 m, 100 m and 140 

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