Question

Area of a redangular plot is 528 m² . The lenghts of plot is one more than twice of its breadth We need to find length and breadth of plot .​

Answer 1

Step-by-step explanation:

Let the breadth of rectangular plot (b) 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 = 0 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.

hope it helps you thanks..