a. Ta có

$S_{MNPQ}=$ `1/2(MN+PQ).ME`

 `=>` `ME=``frac{2.S_{MNPQ}}{MN+PQ}=` `frac{2.36}{4+8}=6` 

b. Xét `ΔIPQ` có `MN`$\parallel$ `PQ` nên `frac{IP}{IM}=`` ``frac{PQ}{MN}=>`` ``frac{IP}{IM}` `=` `8/4``=``2`

`=>``frac{IP}{IM+IP}=``frac{2}{2+1}` 

`=>``frac{IP}{IM+IP}=``frac{2}{2+3}` 

`=>` `IP=` `2/3MP` `(dpcm)`

c. Kẻ `IF``\bot` `PQ`, mà `ME``\bot` `PQ` `=>`` IF`$\parallel$  `ME`

Do `Δ PME` có `IF`$\parallel$`ME` nên:`frac{IF}{FE}` `=` `frac{IP}{MP}=2/3`

`=>` `IF=2/3ME=>IF=2/3.6=4cm`

`=>` `S_{ΔIPQ}` `=` `frac{IF.PQ}{2}=``frac{4.8}{2}``=``16cm^2`