Question

Find the area of a rectangular plot with one side of width is $48m$ and diagonal is $50m.$

Answer 1

$Byu\sin gpytha.theorem$

${\left(diagonal\right)}^2={\left(givenside\right)}^2+{\left(adjacentside\right)}^2$

${\left(adjacentside\right)}^2={50}^2-{48}^2\Rightarrow {\left(adjacentside\right)}^2=\left(50+48\right)\left(50-48\right)\Rightarrow {\left(adjacentside\right)}^2=\left(98\times 2\right)\Rightarrow \left(adjacentside\right)=\sqrt{196}\therefore \left(adjacentside\right)=14m$

$Now,area=14\times 48=672m^2.$