Question

The sides of a triangular field are 5lm,37m and 20m.Find the

number of rose beds that can be prepared in the field if each
rose bed on an average occupies 6sq m space

Answer 1

To find the number of rose beds that can be prepared in the triangular field, calculate the area using Heron's formula and then divide by the average area of a rose bed.

Step-by-step explanation:

To find the number of rose beds that can be prepared in the triangular field, we need to find the area of the field first. We can use Heron's formula to calculate the area of the triangle. Heron's formula is given as:

A = sqrt(s * (s - a) * (s - b) * (s - c)), where s is the semiperimeter of the triangle, and a, b, and c are the lengths of the sides.

Semi-perimeter (s) = (5 + 37 + 20) / 2 = 62 meters

A = sqrt(62 * (62 - 5) * (62 - 37) * (62 - 20)) = sqrt(62 * 57 * 25 * 42) = 570 sq m

Now, to find the number of rose beds that can be prepared, we divide the total area of the field by the average area occupied by each rose bed:

Number of rose beds = 570 sq m / 6 sq m = 95 beds

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