A) 600 sq cm
B) 250 sq cm
C) 200 sq cm
D) 150 sq cm
Correct Answer: A
Solution :
Given, Side \[(x)=25m;\] Diagonal, \[{{d}_{1}}=30\text{ }cm\] If the other diagonal is \[{{d}_{2}},\] then \[25=\frac{1}{2}\sqrt{d_{1}^{2}+d_{2}^{2}}\] or \[50=\sqrt{{{30}^{2}}+d_{2}^{2}}\] or \[{{50}^{2}}={{30}^{2}}+d_{2}^{2}\] or \[d_{2}^{2}={{50}^{2}}-{{30}^{2}}=80\times 20\] \[\therefore \] \[{{d}^{2}}=40\,cm\] Hence. area of rhombus \[=\frac{1}{2}{{d}_{1}}\times {{d}_{2}}\] \[=\frac{1}{2}\times 30\times 40\] \[=600\,sq.m.\]
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