SOLUTION: if breadth of a rectangle is 2/5 of its length and half of the perimeter of a rectangle is 375m. then GCD of length and breadth is ?

Question 1044224: if breadth of a rectangle is 2/5 of its length and half of the perimeter of a rectangle is 375m. then GCD of length and breadth is ?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Is supposed to mean Greatest Common Divisor?
If it is so, you would expect the values, in meters, for he breadth and length of the rectangle to be whole numbers, but they turn to be fractions.

THE PROBLEM AS POSTED:
We can define
= breadth of the rectangle, in meters, and
= length of the rectangle, in meters,
because that is the same as saying that the breadth of the rectangle is of its length.
= half of the perimeter of the rectangle, in meters.
The problem says that .
So, .
That is not a whole number. It is a fraction,
so and ,
the breadth and length of the rectangle, are not whole numbers.
They are irreducible fractions.

IF THE PROBLEM STATED THAT
the breadth of a rectangle is of its length and half of the perimeter of a rectangle is 375m,
then bread and length (in meters) can be written as and ;
is half of the perimeter of the rectangle, in meters;
is the equation;
,
the breadth is ,
the length is ,
and the GCD of length and breadth is
, because and are coprime, or relatively prime
(they do not have any common factors/divisors other than 1).
RELATED QUESTIONS
If sum of length and breadth of a rectangle is 115 then find its perimeter (answered by JBarnum)

The length of rectangle is8m more than its breadth if breadth if perimeter is 128m... (answered by josgarithmetic)

The length and the width of the rectangle is in the ratio 3:5. Its area is 375m^2. Find... (answered by lwsshak3)

The length and the width of the rectangle are in the ratio 5:3. Its area is 375m^2. Find... (answered by ikleyn,josgarithmetic)

the length of a rectangle is 6m less than twice its breadth. if the perimeter of the... (answered by macston)

the length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the... (answered by macston)

The perimeter of a rectangle is 13cm. If its length is four 3/5 cm, then find its... (answered by Cromlix)

the length of rectangle is 2cm more then twice its breadth . if the perimeter of... (answered by fractalier)

How to find the breadth of a rectangle whose length is double of its breadth and... (answered by thepelster,MathTherapy)