SOLUTION: The length of a rectangular plot of land exceeds its breadth by 23m.if the length is decreased by 15m and breadth increased by 7,the area is reduced by 360m^2.find the length and b

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The length of a rectangular plot of land exceeds its breadth by 23m.if the length is decreased by 15m and breadth increased by 7,the area is reduced by 360m^2.find the length and b      Log On


   

Question 1054243: The length of a rectangular plot of land exceeds its breadth by 23m.if the length is decreased by 15m and breadth increased by 7,the area is reduced by 360m^2.find the length and breadth of the plot?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L=B%2B23
The area of the plot is,
A=L%2AB=%28B%2B23%29B
So then when the change is made to length and breadth,
A%5Bnew%5D=%28L-15%29%28B%2B7%29=A-360
Substituting,
%28B%2B23-15%29%28B%2B7%29=%28B%2B23%29B-360
%28B%2B8%29%28B%2B7%29=B%5E2%2B23B-360
B%5E2%2B15B%2B56=B%5E2%2B23B-360
-8B=-416
B=52m
Then,
L=52%2B23
L=75m