The area of a rectangle gets reduced by 80sq units if it's length reduced by 5 units and breadth is increased by 2 units.if we increase length by 10sq units and decrease breadth by 5sq units ,area will increase by 50sq units.find length and breadth of rectangle?
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The length of rectangle is 40 square units.
The breadth of rectangle is 30 square units.
Solution:
Given:
Length and Breadth of rectangle be l and b.
Area of rectangle = lb
(l - 5) (b + 2) = lb - 80
i.e., 2l – 5b + 70 = 0______ ( 1 )
(l + 10) (b - 5) - lb = 50
5l + 10b = 100
Divide both side by 5
l + 2b = 20
l – 2b +20 = 0________ ( 2 )
Multiplying ( 2 ) by 2 , we get
2l – 4b = -40______ ( 3 )
Subtracting ( 3 ) from ( 1 ), we get
-b = -30
b = 30
2l -5(30) = -70
2l = -70 + 150
l = 40
Length = 40 units and Breadth = 30 units .
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