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The areaof a rectangular plot is 528 sq.m. The length of the plot (inmetres) is twice its breadth.Find the length and breadth oftheplot. .​

Answer»

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


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