Question

The diagonal of a quadrilateral is 10 cm.
The lengths of the perpendiculars drawn
on this diagonal from opposite vertices are
5 cm and 4 cm. The area of the quadrilateral is

Answer 1

Answer:

45cm2

Step-by-step explanation:

Area of Quadrilateral is 1/2* diagonal*sum of perpendiculars

1/2* 10*(5+4)

5(9)

= 45

Answer 2

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