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The triangular side walls of a flyover h...

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are `13 m, 14 m` and `15 m.` The advertisement yield an earning of Rs. `2000` per `m^(2)` a year. A company hired one of its walls for `6` months. How much rent did it pay ?

A

`Rs. 82,000`

B

`Rs. 83,000`

C

`Rs. 84,000`

D

`Rs. 85,000`

Text Solution

Verified by Experts

The correct Answer is:
C
The sides of triangular side walls of a flyover which have been used for advertisement are `13 m, 14 m, 15 m.`
`s=(13+14+15)/(2)=(42)/(2)=21m`
Area `=sqrt(21(21-13)(21-14)(21-15))`
`=sqrt(21xx8xx7xx6)`
`=sqrt(7xx3xx2xx2xx2xx7xx3xx2)`
`=7xx3xx2xx2=84 m^(2)`
It is given that the advertisement yield an earning of Rs. `2,000` per `m^(2)` a year.
`:.` Rent for `1` `m^(2)` for 1 year = Rs. 2000
So, rent of 1 `m^(2)` for 6 months or `(1)/(2)` year = `Rs. ((1)/(2)xx2000)=Rs. 1,000`
`:.` Rent for `84 m^(2)` for 6 months = Rs. `(1000xx84)=Rs. 84,000`.
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