Question

The area of rectangular land of Suhas's is 500 sq. meter. If length of land is decreased by 3 metre and breadth is increased by 2 meter, then the land formed a square. Let us write by calculating the length and breadth of land of Suhas's. <br /><br />Heeellpp and No spams ​

Answer 1

Step-by-step explanation:

Explanation:

Let

l

and

b

be the length and breadth of the rectangular land, respectively.

Area of the rectangular land

=

l

⋅

b

=

500

⇒

b

=

500

l

-------{1}

We know that a square has four equal sides.

Given that if the length is decreased by 3m and breadth is increased by 2m, then the land forms a square,

⇒

(

b

+

2

)

=

(

l

−

3

)

b

=

l

−

5

Substituting

(

b

=

l

−

5

)

into {1} gives

l

−

5

=

500

l

⇒

l

2

−

5

l

−

500

=

0

⇒

(

l

−

25

)

(

l

+

20

)

=

0

⇒

l

=

25

or

−

20

As

l

can not be negative,

⇒

l

=

25

⇒

b

=

l

−

5

=

25

−

5

=

20

Hence, length of rectangle

l

=

25

m

and breadth of rectangle

b

=

20

m

.

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