Question

Find the area of a rectangular plot, one side of which is 48 meters and its diagonal is 50 m

Answer 1

Length = 48 m

Diagonal = 50 m

$\sqrt{ {l}^{2} + {b}^{2} } = 50 \\ {48}^{2} + {b}^{2} = {50}^{2} \\ 2304 + {b}^{2} = 2500 \\ {b}^{2} = 196 \\ b = 14$

Area = Length *Width

= 14 * 48

= 672 m^2

Answer 2

(side of rectangle)^2=diagonal^2-side^2
=50^2-48^2
=196
side=√196
side=14m

area =l×b
area=48×14
area=672m^2