The perimeter of a rectangular swimming pool is 154. The length is 2m more than its breadth. find the breadth and the lenght ?
Answers
Question
The perimeter of a rectangular swimming pool is 154. The length is 2m more than its breadth. find the breadth and the length ?
Solution
Given :-
- The perimeter of a rectangular swimming pool is 154
- The length is 2m more than its breadth.
Find :-
- Breadth & length of rectangular swimming pool .
Explanation
Let,
- Breadth = X
- Length = Y
A/C to question,
(The length is 2m more than its breadth.)
==> Y = X + 2 --------------(1)
Using Formula
★ Perimeter of rectangle = 2 × (Length + Breadth )
So,
==> The perimeter of a rectangular swimming pool = 154
==> 2 × (Length + Breadth) = 154
==> Y + X = 154/2
==> X + Y = 77
Keep Value by equ(1)
==> X + (X + 2) = 77
==> 2X = 77 - 2
==>2X = 75
==> X = 75/2
==>X = 37.5
Keep Valuevin equ(1)
==> Y = 37.5 + 2
==> Y = 39.5
Hence
- Length of rectangular pool (Y) = 39.5
- Breadth of rectangular pool (X) = 37.5
________________
Step-by-step explanation:
Given perimeter of the swimming pool is 154 cm
and,
according to question... length is 2m more than breadth ... so, if breadth is x
length be 2x
we know that,
Perimeter of rectangle = 2(l+b)
154. =2(2x+x)
154. = 4x+2x
154. = 6x
154/6. = x
25.66 = x
then,
Record the question...
length is 2x = 2×25.66 = 51.32 cm
breadth is x = 25.66 cm
Hence, the length is 51.32 cm. and,
breadth is 25.66 cm...
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