Question

The length and breadth of a rectangular field are in the ratio3:2.If the area of the field is 4056 cm²,Find the length and breadth of the field.

Answer 1

Let the length and breadth be = 3x and 2x

★ $\sf { Area\: of\: a \:rectangle = length \times breadth }$

» 4056 = 3x × 2x

» 4056 = 6x²

» x² = 576

» x = 24

★ $\sf { Perimeter \: of \: a \:rectangle = 2(length+breadth) }$

» Perimeter = 3x + 2x

» Perimeter = 5x

» Perimeter = 5(24)

» Perimeter = 120

$\boxed{\sf {Answer \:is\:120\: cm}}$