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The diagonal of a rectangle is 5 cm and one of at side is 4 cm. It's area iss?
Most Upvoted Answer
The diagonal of a rectangle is 5 cm and one of at side is 4 cm. It's a...
Given Information



  • Diagonal of the rectangle = 5 cm

  • One of the sides of the rectangle = 4 cm



Formulae



  • Let the length of the rectangle be 'l' and the width be 'w'

  • Using Pythagoras theorem, we can say that l² + w² = diagonal²

  • The formula for the area of a rectangle is A = l x w



Solution



  • Let's use Pythagoras theorem to find the length of the rectangle

  • diagonal² = l² + w² (since one of the sides is 4 cm, we can say that w = 4)

  • 5² = l² + 4²

  • 25 = l² + 16

  • l² = 9

  • l = 3 cm

  • Now that we know both the length and width of the rectangle, we can use the formula for area

  • Area = 3 cm x 4 cm = 12 cm²



Final Answer


The area of the rectangle is 12 cm².
Community Answer
The diagonal of a rectangle is 5 cm and one of at side is 4 cm. It's a...
Use pythagoras find other side which is 3
then area=L×B=3×4
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The diagonal of a rectangle is 5 cm and one of at side is 4 cm. It's area iss?
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