Question

the area of rectangular plot is 583m² the length of plot is one more than twice it's breadth we use to find length and breadth of plot​

Answer 1

Answer:

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Step-by-step explanation:

be ’x’ m.

Then the length of th plot is one more than twice its breadth,

∴ Length (l)= 2x + 1 m.

But Length × Breadth = Area of rectangle l × b = A

∴ x × (2x + 1) = 528 sq.m.

2x2 + x = 528

∴ 2x2 + x – 528 = 0 is the required equation.

Now, we have to find out the value of ‘x’ : 2x2 + x – 528 =

2x2 – 32x + 33x – 528 =

0 2x(x – 16) + 33(x – 16) =

0 (x – 16) (2x + 33) = 0

If x – 16 = 0, then x = 16 If 2x + 33 = 0,

then x = -33/2

∴ Breadth (b) = 16 m.

Length (l) = (2x + 1) = 2(16) + 1 = 32 + 1 = 33m

∴ Length (l) = 33 m Breadth (b) = 16 m.