If the adjacent sides of a rectangle, whose perimeter is 66 m, are in the ratio 5 : 6, then what will be the area of the rectangle?

270 m²

Perimeter = 66cm

According to the question,

let the length of the rectangle = 5x

and the breadth of the rectangle = 6x

So, Perimeter of the rectangle = 2( length + breadth)

and Area of a rectangle = length × breadth

2( 5x+ 6x) = 66

5x+ 6x = 33

11x = 33

x = 3

Then the area of the rectangle = length × breadth = (5× 3 × 6 × 3 )  = 270 m²