The diagonal of a quadrilateral is 10 cm.The lengths of the perpendicu

1.	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
Answer» 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. _________________________________ 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

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

Answer»

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.

_________________________________

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

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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

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