The area of arectangle is 500^2.if the length is decreased by 2m and breadth is increased by 3m. Find its length and breadth.
Answers
Answered by
1
Answer:
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
.
I hope that helps!
Similar questions