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A triangular corner is cut form a r...

A triangular corner is cut form a rectangular priece of paper an the resulting pentagon has sides ,5,6,8,9,12 in some order , the ratio of the area of the pentagen to the area of the rectangle is -

A

`(11)/(18) `

B

`(13)/(18)`

C

`(15)/(18)`

D

`(17)/(18)`

Text Solution

Verified by Experts

The correct Answer is:
D

Clearly `x=4=12-8`
& y=3
area of rectangle `=12xx9=08`
`therefore ` area of pentagon `=12xx9-` area of `Delta`
`=108-(1)/(2) xx3xx4=102`
`therefore ("ar(pentagon )")/( "ar( rectangle )"0=(02)/(108)=(17)/(18)`
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