Question

The lenght of a rectangle is 20 percent more than its breadth what will be the ratio of the area of a rectengle to that of a square whose side is equal to the breadth of the rectengle.​

Answer 1

Answer:

Ratio of Area of Rectangle : Area of Square = 1:5

Step-by-step explanation:

Length of the rectangle:- x

Breadth of the rectangle:- y

Given:- x = 20% x y

x = 20/100 x y

x = y/5----- (i)

Area of a rectangle = l x b

= x x y

= $\frac{y}{5} * y\\\frac{y^{2} }{5}$

Therefore the area of the rectangle is $y^{2}/5$

Breadth of the rectangle = Side of Square (Given)

y = Side of Square

Area of a Square = s x s

= y x y

= $y^{2}$

Ratio of Area of Rectangle : Area of Square

$y^{2}/5 * 1/y^{2}$

1/5

Therefore, 1:5