Question

40.
The area of square is 225 sq. cm. Which is equal to
area of rectangle. The length of rectangle is 40 cm
more than it's breadth. What is ratio of side of square
to breadth of rectangle?​

Answer 1

Answer:

area of square is 225sq. cm

side of square = 15 cm

............1

area of rectangle=225 sq. cm

l × b = 225

x+x+40=225

2x. =225-40

2x. = 185

x= 185/2

x= 62.5 cm

Breadth = 62.5 cm

.............2

From 1 and 2

ratio=

15:62.5

3:12.5

Answer 2

Answer:

3:1

Step-by-step explanation:

sides of a square is equal in length

$\sqrt{225}$ = 15 = length of the side of a square

if the breadth of the rectangle = $x$

then length of the rectangle = $x+40$

$x(x+40) = 225\\\\x^{2} +40x -225=0\\\\(x-5)(x+45)=0\\\\x=5\\\\x=-45$  

but length is not negative.

therefore $x=5$

side of a square : breadth of the rectangle   is  $15:5$  i.e   $3:1$