The diagonal of a quadrilateral is 10 cm.The lengths of the perpendiculars drawnon this diagonal from opposite vertices are5 cm and 4 cm. The area of the quadrilateral is

Math Secondary School in Math 9 months ago

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GIVEN :

  • DIAGONAL of the quadrilateral = 10 cm
  • Parallel sides = 5 cm and 4 cm

To find :

  • AREA of the quadrilateral

According to the question,

→ Area of quadrilateral = ½ × diagonal × sum of the length of the perpendicular sides

→ Area of quadrilateral = ½ × 10 × (5 + 4) cm²

→ Area of quadrilateral = 5 × (5 + 4) cm²

→ Area of quadrilateral = 5 × 9 cm²

→ Area of quadrilateral = 45 cm²

.°. Area of quadrilateral is 45 cm².

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More formulas :-

  • Area of rectangle = length × breadth

  • Area of square = SIDE × side

  • Perimeter of rectangle = 2(length + breadth)

  • Perimeter of square = 4 × side

  • Perimeter of triangle = Sum of all its side

  • Area of trapezium = ½ × sum of parallel × height

Posted on 03 Nov 2024, this text provides information on Math related to Secondary School in Math. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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