if the length of a rectangle is 1.5 cm bigger than it's breadth and it's perimeter is 19 cm,then find its length and breadth
Answers
Let the breadth be x cm.
So, length = (x+1.5) cm
Perimeter = 19 cm.
So, x+(x+1.5) = 19
or, 2x = 19-1.5
or, 2x = 17.5
or, x = 17.5/2
or, x = 8.75
So, breadth = x = 8.75 cm.
and length = (x+1.5) cm = 10.25 cm
Hence, its length and breadth are 10.25 cm and 8.75 cm respectively.
Hope this helps you to get to your answer.
Answer:
Let the breadth of rectangle be x.
So length of rectangle will be x + 1.5cm.
Perimeter of rectangle = 2(l+b)
19 = 2 (x + x + 1.5)
19 = 2 (2x + 1.5)
19 = 4x + 3
19 - 3 = 4x
16 = 4x
16/4 = x
4 = x
Length of rectangle = 4 + 1.5 = 5.5cm
Breadth of rectangle = 4cm