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The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What are the length and breadth of the pool?
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The length and breadth of the pool are 52 m and 25 m. Given that the perimeter of the rectangular swimming pool=154m:
Now assume that the breadth be=x
Then, according to the question the length=2x+2m
We know that:
Perimeter=2(l+b)
Substituting the values we get:
154=2(2x+2+x)
On multiplying by 2:
154=4x+4+2x
154=4x+2x+4
154=6x+4
On simplifying we get:
154-4=6x
150=6x
25=x
Therefore breadth=25m
Length=2x+2m
Substituting the values of x we get:
=2 × x+2m
=2×25+2m
=50+2m
=52m
Therefore, Breadth=25m and Length=52m.
Table of content
Properties of Rectangle
- A quadrilateral is a rectangle.
- Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.
- 360 degrees is the total of all interior angles.
- The diagonals cut each other in half, and both of them are equal in length.
- The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.
- The area of a rectangle with sides that are a and b is given by: ab sin 90 = ab square units.
- The diameter of a rectangle’s circumcircle is given by its diagonal.
- At various angles, the diagonals cut each other in half. One is an obtuse angle, the other an acute angle.
- The rectangle is referred to as a square if the two diagonals intersect at right angles.
Summary:
The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What are the length and breadth of the pool?
The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. The length and breadth of the pool are 52 m and 25 m.