The length and breadth of a rectangle are integers.
Hwmany such rectangles exist such that the perimeter
of each such rectangle is 16 cm ? write the length
and breadth of each such rectangle.
Answers
Step-by-step explanation:
length=1, breadth=7
length=7, breadth=1
length=2, breadth=6
length=6, breadth=2
length=3, breadth=5
length=5, breadth=3
There are four types of rectangle which perimeter is 16 cm.
Step-by-step explanation:
1. Perimeter of rectangle = 16 cm
2( Length + Breadth) = 16 cm
It also can be written as
Length + Breadth = 8 cm ...1)
2. Since it is given that value of length and breadth is integer . Possible value of length from equation 1) is
Length + Breadth = 8 cm
7 + 1 = 8
6 + 2 = 8
5 + 3 = 8
4 + 4 = 8
3. First rectangle which
Length = 7 cm
Breadth =1 cm
4. Second rectangle which
length = 6 cm
Breadth =2 cm
5. Third rectangle which
length = 5 cm
Breadth =3 cm
6. Fourth rectangle which
length = 4 cm
Breadth =4 cm
Fourth rectangle which length and breadth are equal, it become square. As we know that every square is also rectangle.