Question

a perimeter of rectangular plot is 24 M if the length is decreased by 2 metre and width is increased by 2 metre the area remains in same of plot Find the dimensions of the plot

Answer 1

Let length = a
Let breath = b
__________________________
Condition 1
2a+2b=24--------1
Condition 2
(a-2)(b+2)=ab
ab+2a-2b-4=ab
2a-2b=4-----------2
_____________________
On solving 1 & 2 we get
.a=7
.b=5
____________
Length of rectangle. 7m
Breath of rectangle. 5m