Question

C) 650
D) None
ABCD is a square of area 64 em? The square of the center is 16 cm' The remaining
are four congruent rectangles. The ratio of the length to breadth of a rectangle is
TAMTI-2015/
AJ 2
B) 3
C) 4
D) 6​

Answer 1

Answer:

Solution :

Let the side of outer square = s ---( 1 )

side of the inner square = a ----( 2 )

According to the problem given ,

Area of the outer square = 4 × area of the

inner square

=> s² = 4a²

=> s = √( 2a )²

=> s = 2a ----( 3 )

Now ,

Let the breadth of the each congruent

rectangle = b

Side of outer square = s

=> b + a + b = s

=> 2b + a = s

=> 2b = s - a

=> b = ( s - a )/2

= ( 2a - a )/2

= a/2 ---- ( 4 )

Length of each congruent rectangle

( l ) = s - b

= 2a - a/2

= ( 4a - a )/2

= 3a/2

Therefore ,

Ratio = l : b

= ( 3a/2 )/( a/2 )

= 3 : 1

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