SSC Sample Paper Mock Test-14 SSC CGL Tear-II Paper-1

The perimeter of the top of a rectangular table is 28m, whereas its area is 48 m2. What is the length of its diagonal?

A) 5 m

B) 10 m

C) 12 m

D) 12.5 m

Correct Answer: B

Solution :

Let the length \[=l\,\,\text{m}\]and breadth \[=b\,\,\text{m}\]

\[\therefore \] \[2\,\,(l+b)=28\]

\[\Rightarrow \] \[l+b=14\] ...(i)

\[lb=48\] ...(ii)

Now, \[{{(l-b)}^{2}}={{(l+b)}^{2}}-4lb={{(14)}^{2}}-4\times 48\]

\[=196-192=4\]

\[\Rightarrow \] \[l-b=2\] ?(iii)

\[l=8,\,\,b=6\]

\[\therefore \] Diagonal \[=\sqrt{{{8}^{2}}+{{6}^{2}}}=10\,\,\text{m}\]