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In square A B C D ,\ P\ a n d\ Q are ...

In square `A B C D ,\ P\ a n d\ Q` are mid-point of `A B\ a n d\ C D` respectively. If `A B=8c m\ a n d\ P Q\ a n d\ B D` intersect at `O ,` then find area of ` O P B`

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Solution : ABCD is a square.
P and Q are the mid points of AB and CD in which AB = 8cm, PQ and BD intersect at O.
`AP=BP=1/2AB`
`AP=BP=(1/2)8 =4cm`
`AB=AD=8cm`
`QP|\|AD`
Then, `AD=QP`
So, `OP=AD`
...
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