Question

the area of rectangular plot is 528 m square the length of a plot is one more than twice its breadth we need to find the length and the breadth of the plot​

Answer 1

Given:

Area of rectangular plot is 528 m².

Length of plot is one meter more than twice the breadth.

Find:

The length and breadth of plot?

Solution:

Let the breadth of rectangular plot be x m.

Therefore,

Length = One meter more than twice breadth.

=> (2x + 1) m

We know that,

Area of Rectangle = Length × Breadth

=> 528 = l × b

=> 528 = (2x + 1)(x)

=> 528 = 2x² + x

=> 0 = 2x² + x – 528

Now,

=> 2x² + x – 528

=> 2x² – 32x + 33x – 528

=> 2x (x – 16) + 33 (x – 16)

=> (2x + 33) (x – 16)

=> (2x + 33) = 0 or (x – 16) = 0

=> 2x = –33 or x = 16

Since, x cannot be negative.

=> x = 16

• Breadth = 16m
• Length => 2x + 1

=> 2(16)+1

=> 32 + 1

=> 33 m

Length = 33m

Hence, the length is 33m and breadth is 16m of plot.

I hope it will help you.

Regards.