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Find the area of a quadrilateral one of whose diagonals is 30 cm long and the perpendiculars from the other two vertices are 19 cm and 11 cm respectively.

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Question

Find the area of a quadrilateral one of whose diagonals is 30 cm long and the perpendiculars from the other two vertices are 19 cm and 11 cm respectively. 

Sum
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Solution

Area = `1/2` × one diagonal × sum of the length of the perpendicular drawn from it on the remaining two vertices. 

= `1/2 xx 30 xx ( 11 + 19 )`

=  450 sq.cm

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Chapter 19: Area and Perimeter of Plane Figures - Exercise 19 (B) [Page 283]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 19 Area and Perimeter of Plane Figures
Exercise 19 (B) | Q 2. | Page 283
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