The sides of a triangular field are 41 m, 40 m and 9 m. The number of rose beds that can be prepared in the field if each rose bed, on an average, needs 900 square cm space,

Options

A. 2000
B. 1800
C. 900
D. 800

Answer

A

Explanation

Area of triangular field
`sqrt(s(s-a)(s-b)(s-c))`
`s=(a+b+c)/2=(41+40+9)/2=45m`
`"Area"=sqrt(45xx(45-41)xx(45-40)xx(45-9))`
`=sqrt(45xx4xx5xx36)=180m^2=1800000cm^2`
Number of rose bed `=1800000/900=2000.`