Question

pqrs is a rectangle in which length is two times its breadth and l is mid point of pq with p and q as centers draw two quadrants as in the fig . find the ratio of the area of rectangle pqrs to the area of shaded portion

Answer 1

let breadth = x
length = 2x

area of rectangle = l x b
= 2x²

area of quadrant = 2 x 1/4 x 22/7 x x²
= 11x²/7

area of shaded region = area of rectangle - area of quadrant 
= 3x²/7

area of rectangle/ area of shaded region = 2x²/ 3x²/7 = 14/3 or 14:3

Answer 2

Answer:

Step-by-step explanation:

let breadth = x

length = 2x

area of rectangle = l x b

= 2x²

area of quadrant = 2 x 1/4 x 22/7 x x²

= 11x²/7

area of shaded region = area of rectangle - area of quadrant

= 3x²/7

area of rectangle/ area of shaded region = 2x²/ 3x²/7 = 14/3 or 14:3