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# Gudiya...
HOPE IT HELPS...!!!!☺☺☺
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Let the length of the rectangle = x units.
Let the breadth of the rectangle = y units.
Area of the rectangle = x * y.
Condition (1):
Given that,
Length is reduced by 2 units = x - 2.
Breadth is increased by 2 units = y + 2.
Given that area gets reduced by 6 square units = xy - 6
(x - 2)(y + 2) = xy - 6
xy + 2x - 2y - 4 = xy - 6
2x - 2y = - 2 -------- (1)
Given,
Condition (2) :
Length is increased by 3 units = x + 3.
Breadth is decreased by 2 units = y + 2
The area is increased by 79 square units.
(x + 3)(y + 2) = xy + 79
xy + 2x + 3y + 6 = xy + 79
2x + 3y = 73 ---------- (2)
On solving (1) & (2), we get
2x - 2y = -2
2x + 3y = 73
---------------------
-5y = -75
y = 15.
Substitute y = 75 in (2), we get
2x + 3y = 73
2x + 3(15) = 73
2x + 45 = 73
2x = 73 - 45
2x = 28
x = 14.
Therefore the length of the rectangular plot = 14units.
Therefore the breadth of the rectangular plot = 15units.
Hope this helps!
Let the breadth of the rectangle = y units.
Area of the rectangle = x * y.
Condition (1):
Given that,
Length is reduced by 2 units = x - 2.
Breadth is increased by 2 units = y + 2.
Given that area gets reduced by 6 square units = xy - 6
(x - 2)(y + 2) = xy - 6
xy + 2x - 2y - 4 = xy - 6
2x - 2y = - 2 -------- (1)
Given,
Condition (2) :
Length is increased by 3 units = x + 3.
Breadth is decreased by 2 units = y + 2
The area is increased by 79 square units.
(x + 3)(y + 2) = xy + 79
xy + 2x + 3y + 6 = xy + 79
2x + 3y = 73 ---------- (2)
On solving (1) & (2), we get
2x - 2y = -2
2x + 3y = 73
---------------------
-5y = -75
y = 15.
Substitute y = 75 in (2), we get
2x + 3y = 73
2x + 3(15) = 73
2x + 45 = 73
2x = 73 - 45
2x = 28
x = 14.
Therefore the length of the rectangular plot = 14units.
Therefore the breadth of the rectangular plot = 15units.
Hope this helps!
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