Question

the length of a rectangular area is 2m.more than its breadth and its area is 24sqm.I construct a quadratic equation in one variable.​

Answer 1

Answer:

Given that:

Area of the rectangular playground =195 m

2

.

To find:

Length =?, Breadth =?

Solution:

Let breadth of the rectangular playground =b

Length of the rectangular playground =(b+2)

Area of rectangular playground = Length × Breadth

⇒195=(b+2)×b

⇒195=b

2

+2b

⇒b

2

+2b−195=0

⇒b

2

+15b−13b−195=0

⇒b(b+15)−13(b+15)=0

⇒(b−13)(b+15)=0

⇒b=13 or b=−15

Value b of can't be negative. So b=13

Therefore, breadth of the rectangular playground =13 m

and length of the rectangular playground =15 m

Step-by-step explanation:

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Answer 2

Answer:

x²-6x-24=0

Step-by-step explanation:

let length be x. Then breadth= x-2

given area=24,

area= l*b

24=x*(x-2)

24=x²-2x

x²-2x-24=0

Solution

x²-6x+4x-24=0

x(x-6)+4(x-6)=0

(x+4)(x-6)=0

either x=-4 or x=6 but length cannot be negative so x=6

length=6, breadth= 4

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