The area of a rectangle gets reduced by 80 sq units if its length is reduced by 5 units and
breadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units the area will increase by 50 sq units . find length and breadth of rectangle in substitution meathod
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Answer:
Length = 40 units and Breadth = 30 units .
Step-by-step explanation :
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
(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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