Question

Class 10 The area of a rectangular plot is
$528{m}^{2}$
. The length of the plot is one more than twice its breadth. We need to find the length and breadth of the plot .


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Answer 1

Answer:

area of rectangle =

$lenght \times breadth$

given=

$528 {m}^{2}$

and according to the question

length is eqal to the two more than the twice of the breadth .

area of rectangle =

$lenth \times breadth$

$528 {m }^{2} = l(2l + 2)$

Answer 2

Answer:

length = 33 m

breadth = 16 m

Step-by-step explanation:

Given:

To find:

Solution:

let, the breadth of rectangular plot be x m .

Therefore, the length = (2x + 1) m.

As we know ,

Area of rectangle = length × breadth

or, 528 = x(2x + 1)

or, 528 = 2x² + x

or, 2x² + x - 528 = 0

or, 2x² + 33x - 32x - 528 = 0

or, x(2x + 33) - 16(2x + 33) = 0

or, (x - 16)(2x + 33) = 0

or, x - 16 = 0

or, x = 16

Since, the length can't be negative.

So, Breadth = 16 m

Length = 2x + 1 = 32 + 1 = 33 m