| The breadth of a rectangular hall is three-fourths of its length. If the area of the floor is \[768\text{ }{{m}^{2}},\]then the difference between the length and breadth of the hall is |
A) 8 m
B) 12
C) 24 m
D) 32 m
Correct Answer: A
Solution :
| Let the length of the rectangular hall be x. |
| Then, breadth of the hall \[=\frac{3}{4}x\] |
| Area = Length \[\times \]Breadth |
| \[\Rightarrow \] \[768=\frac{3}{4}x\times x\]\[\Rightarrow \]\[768=\frac{3{{x}^{2}}}{4}\] |
| \[\Rightarrow \] \[3{{x}^{2}}=768\times 4\] |
| \[\Rightarrow \] \[{{x}^{2}}=\frac{768\times 4}{3}\]\[\Rightarrow \]\[{{x}^{2}}=256\times 4\]\[\Rightarrow \]\[x=32\] |
| \[\therefore \] Breadth \[=\frac{3}{4}\times 32=24\] |
| \[\therefore \] Difference \[=32-24=8\,m\] |
You need to login to perform this action.
You will be redirected in
3 sec
