Question 1047748

The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of the hall.
<pre>Let the original length be L
Then breadth = {{{48/L}}}
We then get: {{{(L + 1)(48/L + 1) = 63}}}
{{{48 + L + 48/L + 1 = 63}}}
{{{L + 48/L + 49 = 63}}}
{{{L + 48/L = 14}}}
{{{L^2 + 48 = 14L}}} ------- Multiplying by LCD, L
{{{L^2 - 14L + 48 = 0}}}
(L - 8)(L - 6) = 0
L, or original length = 8 m         OR          L = 6 m
If original length = 8 m, original breadth = 6 m
If original length = 6 m, original breadth = 8 m