Question

find area of rectangular park whose one side is 48m and one diagnol 50m

Answer 1

The diagonal makes a right angled triangle with the length and the breadth of a rectangle.

breadth = √[(diagonal)²-(length)²]

breadth = √[(50)²-(48)²]

breadth = √[(50-48)(50+48)]

breadth = √[(2(98)]

breadth = √(196) = 14

Area = (length)(breadth) = (48)(14) = 672

Hence, the answer is 672m²

Answer 2

$length^2+ breadth^2=diagonal^2 \\ \\So breadth=\sqrt{50^2−48^2} \\ \\ Breadth=14m \\ Area=48×14=672m^2$