Question

two squares s1 and s2 . the ratio of there areas is 4: 25 . if the side of square s1 is 6 cm ,what is the length of the side s2.

Answer 1

Answer :-

___________________________

• Given :-

The areas of two squares ( s¹ and s² ) are in a ratio 4 : 25

The side of s¹ is 6 cm.

• To find :-

The length of s².

• Salutation :-

Let the length of s² be  a  cm

So , the area of s² will be a² cm²

And given , the area of s¹ is ( 6² ) = 36 cm²

Now , according to the question ,

36 : a² = 4 : 25

36 / a² = 4 / 25

9 / a² = 1 / 25       [• Multiplying with (1/4) in both of the sides ]

a² = 25 × 9            [ • Cross multiplication ]

a = √ ( 25 × 9 )          [ • Square root of both of the sides ]

a = 5 × 3

a = 15.             [ ★ Required answer ]

•°• a = 15 cm

•°• The length of s² is ( a ) = 15 cm.

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Answer 2

Answer :-



___________________________



• Given :-



The areas of two squares ( s¹ and s² ) are in a ratio 4 : 25



The side of s¹ is 6 cm.



• To find :-



The length of s².



• Salutation :-



Let the length of s² be  a  cm



So , the area of s² will be a² cm²



And given , the area of s¹ is ( 6² ) = 36 cm²



Now , according to the question ,



36 : a² = 4 : 25



36 / a² = 4 / 25



9 / a² = 1 / 25       [• Multiplying with (1/4) in both of the sides ]



a² = 25 × 9            [ • Cross multiplication ]



a = √ ( 25 × 9 )          [ • Square root of both of the sides ]



a = 5 × 3



a = 15.             [ ★ Required answer ]



•°• a = 15 cm



•°• The length of s² is ( a ) = 15 cm.



___________________________________



★ Be Brainly ★