Question

The sides of a triangular field are 41m, 40m and 9m. Find the number of flower beds that can be prepared in the field, if each flower bed needs 900cm2 space.

Answer 1

By Heron's formula.

Area of a triangular= √s×(s-a)(s-b)(s-c) ,where a,b,c are sides of the triangle and s is the semi perimeter.

so, area of the field=√[45×(45-41)(45-40)(45-9)] = √(45 × 4 × 5 × 36) = √32400 = 180m^2 =1800000cm^2.

now, space needed for a flower bed = 900cm^2.

so, number of flower beds = 1800000/900 = 2000.

Answer 2

Perimeter of triangle = 41+40+9=90

1m = 100cm

90m =9000cm

Space for 1 flower bed is 900cm

= 9000/900

= 10

Hence 10 flower