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Find the area of the rhombus, the length of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.

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Question

Find the area of the rhombus, the length of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus. 

Sum
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Solution

Area of the rhombus =`1/2xxd_1xxd_2` Where `d_1 and d_2` 

are the lengths of the diagonals 

=`1/2xx30xx16` 

=`240  cm^2` 

Side of thee rhombus=`1/2 sqrt(d_1^2+d_2^2)` 

=`1/2 sqrt(30^2+16^2)` 

=`1/2sqrt1156` 

=`1/2xx34` 

= `17 cm`  

Perimeter of the rhombus =4a  

=`4xx17` 

=`68 cm`

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Chapter 15: Perimeter And Area of Plane Figures - EXERCISE 15B [Page 694]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
EXERCISE 15B | Q 32. | Page 694
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