Question

the area of a rectangular plot is 280m².the length of the plot is 2m less than thrice it's breadth we need to find the length and breadth of the plot​

Answer 1

Answer:

98

Step-by-step explanation:

Let the length of the rectangular plot be l m and the breadth of rectangular plot be b m

Area of the rectangular plot =528 m2

Hence length of the plot is one metre more than twice its breadth so the equation formed from this statement

l=2b+1

Area of rectangular plot =528

⇒l×b=528

⇒(2b+1)b=528    [From l=2b+1]

⇒2b2+b=528

⇒2b2+b−528=0

⇒2b2+33b−32b−528=0

⇒b(2b+33)−16(2b+33)=0

⇒(2b+33)(b−16)=0

Breadth of the rectangular plot cannot be negative 

So the b−16=0

⇒b=16 m

Breadth +16 m

Length of the rectangular plot (l)=2b+1

=2×16+1

32+1

33 m

Perimeter of the rectangular plot =2(l+b)=2(33+16)m=2(49)m=98 m

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Answer 2

Answer:

I am sure this answer is correct

area of rectangle= Length X Breadth

so, Let Breadth be a (you can take x)

ATQ

Length=(3a-2)

Area= (3a-2)a

280=3a^2 - 2a ( Given area=280)

we get,

3a^2 - 2a - 280 = 0

by calculating roots we get 2 values of a

a= 10 & a= -56/6

breadth cannot be negative so we take the positive value of a

so, Breadth = 10m

and Length = 3 X 10 - 2 = 28m