Question

a length of rectangle is greater than it's breadth by 2cm . the area of a rectangle is 24 sq km. find length and breadth by quadratic equation
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Answer 1

Step-by-step explanation:

the length of rectangle be l and breadth be b

Then, l−b=2 or l=b+2........(1)

Area of rectangle is 24

∴lb=24

b(b+2)=24...............From (1)

b

2

+2b−24=0

b

2

+6b−4b−24=0

(b+6)(b−4)=0

b=−6,4

Taking only positive value, b=4.

Hence, breadth is 4 cm and length is 6 cm.