Question

The area of a rectangular plot is 528 m^. The length of the plot ( in meters) is one more than twice it's width​

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. ∴ x × (2x + 1) = 528 sq.

Answer 2

Answer:

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

Step-by-step explanation:

Hope it helps you...