Question

The diagonal of following quadrilateral ABCD is 30 cm long, and length of perpendiculars

dropped on diagonal are 12 cm and 9 cm. Find its area.​

Answer 1

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Answer 2

Answer :

• The area of quadrilateral is 315cm².

Step-by-step explanation ::

To Find :-

• The area of quadrilateral

Solution :-

Given that,

• The diagonal of quadrilateral is 30cm
• The length of perpendiculars dropped on diagonal are 12cm and 9cm.

Figure :-

• Refer the attachment

According the question,

As we know that,

Area of quadrilateral = 1/2 × diagonal × sum of the lengths of perpendicular lying on diagonal,

➠ Area = 1/2 × 30 × ( 12 + 9 )

➠ Area = 1/2 × 30 × 21

➠ Area = 1 × 15 × 21

➠ Area = 15 × 21

➠ Area = 315

The area of quadrilateral is 315cm².

More Information

Some more information related to quadrilaterals are :-

The various types of quadrilaterals are :-

• Parallelogram
• Rectangle
• Square
• Trapezium
• Kite

Area of quadrilateral = 1/2 × diagonal × sum of the lengths of perpendicular lying on diagonal.