Question

the perimeter of a rectangular plot is 152m and its area is 1428m. we need to find the length and breadth of rectangular plot. represent the situation problem in the form of quadratic equation​

Answer 1

Step-by-step explanation:

Let the breadth be x m and the length will be 2x+1 m.

Area =l×b

Area =x(2x+1)=528

2x

2

+x−528=0

2x

2

+33x−32x−528=0

⇒2x(x−16)+33(x−16)=0

⇒(2x+33)(x−16)=0

⇒x=16,

2

33

Breadth =16 m and length =33 m

ii)

Let one number be x then the next number will be x+1

x(x+1)=306

⇒x

2

+x−306=0

⇒x

2

+18x−17x−306=0

⇒x(x+18)−17(x+18)=0

⇒(x+18)(x−17)=0

⇒x=17,−18

The numbers are 17 and 18.

iii)

Let Rohan's present age =x yrs.

Then his mother's present age =x+26 yrs

After 3 yrs

Rohan's age =x+3 yrs

His mother's age =x+29 yrs

(x+3)(x+29)=360

Answer 2

Step-by-step explanation:

Perimeter= 152 m

Area=1428m²

Therefore, perimeter=2(l+b) =152

=>x+y=152/2=76

=>y=76-x___________(i)

Area=(l*b)=1428

=>xy=1428__________(ii)

{putting the value of y in eq^(i)}

=>x(76-x)=1428

=>76x -x²-1428=0

=>x²-76x-1428

[Now factorise it and solve it]

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