Question

the length of the rectangle is 20 per cent more than it's breadth. what will be the ratio of the area of a rectangle to that of a square whose side is equal to the breadth of the rectangle​

Answer 1

$\LARGE{\underline{\blue{\sf{Answer}}}}$

ratio of the area of a rectangle to that of a square is 6:5

__________________

$\LARGE{\underline{\blue{\sf{Explanation}}}}$

The length of rectangle is 20% more than it's breadth

Let the breadth be = x

Length $=\:\frac{20}{100}x\:+\:x$

= 0.2x + x = 1.2x

Formula to find area of a rectangle :

$\fbox\red{Area \:= \:length\: ×\:breadth}$

________________

Area of rectangle = 1.2x

= 1.2x²

Side of the square = Breadth of rectangle = x

Now , area of squre = side² = x²

.

So, ratio of the area of a rectangle of a square $=\:\frac{1.2x²}{x²}$

$=\:\frac{12}{10}$

$\:=\:\fbox\red{6:5}$

Hence, ratio of the area of a rectangle to that of a square is 6:5