Question

the area of rhombus is 240 CM ^2 in one of the diagonals is 16 cm then the length of other diagonal is given by
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Answer 1

Answer:

Area = 1/2 x d1 ×d2

=> 240cm^2 = 1/2 x 16 x d2

=>240cm^2= 8cmx d2

=> d2 = 240cm^2/8cm

=> d2=30cm

Thus, 30cm is the length of other diagonal

Answer 2

$\textbf{Given Data :}$

$\longrightarrow\textrm{Area of Rhombus = 240 cm \rm{^2} }$

$\longrightarrow\textrm{Length of First Diagonal (d _1 ) = 16 cm}$

$\rule{315}{2}$

$\textrm{Area of Rhombus = 1/2 \times d _1 \times d _2 }$

$\longrightarrow\textrm{240 cm ^2 = 1/2 \times 16 cm \times d _2 }$

$\longrightarrow\textrm{240 cm ^2 = 16/2 cm \times d _2 }$

$\longrightarrow\textrm{240 cm ^2 = 8 cm \times d _2 }$

$\longrightarrow\textrm{d _2 = 240 cm ^2 \div 8 cm = 30 cm}$

$\boxed{\therefore\textbf{ Length of Second Diagonal (d _2 ) = 30 cm}}$