THE LENGTH AND BREADTH OF A RRCTANGLE ARE IN RATIO 4:3 AND THE DIAGONAL MEASURES 10 CM THEN ITS PERIMETER IS
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Hey!
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↪Let the length and breadth be 4x and 3x respectively .
↪Perimeter = 2× ( L + B )
=> 2 × ( 4x + 3x )
=> 14x.................. ( 1 )
Now Diagonal is 10cm .
Applying Pythagoras theorem ,
( 10)² = (4x)² + (3x)²
100 = 16x² + 9x²
25x² = 100
x² = 4
=> x = 2
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↪Length = 2 × 4 = 8 cm
↪Breadth = 2 × 3 = 6cm .
⭐From (1) perimeter = 14 × 2 = 28 cm .
♦Hence option (d) 28cm is correct !! ✔
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------
↪Let the length and breadth be 4x and 3x respectively .
↪Perimeter = 2× ( L + B )
=> 2 × ( 4x + 3x )
=> 14x.................. ( 1 )
Now Diagonal is 10cm .
Applying Pythagoras theorem ,
( 10)² = (4x)² + (3x)²
100 = 16x² + 9x²
25x² = 100
x² = 4
=> x = 2
========
↪Length = 2 × 4 = 8 cm
↪Breadth = 2 × 3 = 6cm .
⭐From (1) perimeter = 14 × 2 = 28 cm .
♦Hence option (d) 28cm is correct !! ✔
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My answer is also same as DevilDoll12
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