Question

1. The area of rectangle gets reduced by 80 square 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 square
units. Find the length and breadth of the rectangle. (4M)​

Answer 1

Answer:

It is given to us that the area of a rectangle gets reduced by 80 sq. units if its length is reduced by 5 units and the breadth is increased by 2 units. Thus, the modified length is (l – 5) and the modified breadth is (b + 2). The modified area is (lb – 80)

The area of a rectangle

Step-by-step explanation:

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Answer 2

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 .