Question

the sides of a triangular field are 51 m, 37 m, and 20 m, find the number of flower beds that can be prepared in the field, of each bad needs 6 metre square space.


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Answer 1

Solution :

Given, the sides of a triangular field are 51 m, 37 m, and 20 m. Area occupied by each rose bed 6 m²

We have to find the number of flower beds that can be prepared in the field.

Firstly,

→ Semi perimeter, s = (51 + 37 + 20)/2 m

→ Semi perimeter, s = 108/2 m

→ Semi perimeter, s = 54 m

Now by using Heron's formula for finding area of triangle :

→ Area of triangular field = √[54(54 - 51)(54 - 37)(54 - 20)] m²

→ Area of triangular field = √(54 × 3 × 17 × 34) m²

→ Area of triangular field = 306 m²

Now, number of flower beds that can be prepared in the field = Total area of triangular field/Area occupied by each rose bed.

→ Number of flower beds = 306 m²/6 m²

→ Number of flower beds = 51. (Ans.)