The length of a rectangle is less than twice its breadth by 1 cm. The length of its diagonal is
17 cm. Find its length and breadth.
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Given :
- Length of a rectangle is 1 and less than twice its breadth.
- Length of its diagonal is 17cm.
To Find :
- Find its length and breadth
Solution :
Let the Length be x
Let the Breadth be y
As given in the question,
x +1 = 2y
x = 2y -1 ---------(1)
we know that diagonal of a rectangle is also divides into two parts and they are right angled triangle
Hence,
By Pythagoras Theorem
Putting x = 2y -1 in equation
we got the values of y as
•y = 8
•y = -36/5
Since length can't be negative hence y = 8cm.
Hence,
- Length = 15cm
- Breadth = 8cm
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