Question

in the given rectangle lenght is more than its breadth by 7 m and the diagonal is more in lenght by 1 m find lenght and breadth of rectangle

Answer 1

Let the length be l & breadth be x  

l = b+7

diagonals =  

l  

2

+b  

2

 

​

 

l  

2

+b  

2

 

​

=l+1

substituting the value of l,

(b+7)  

2

+b  

2

 

​

=b+7+1

⇒  

b  

2

+49+14b+b  

2

 

​

=b+8

⇒ Squaring both sides:-

2b  

2

+14b+49=(b+8)  

2

 

⇒2b  

2

+14b+49=b  

2

+16b+64

⇒b  

2

−2b−15=0

⇒(b−5)(b+3)=0

Since b cannot be negative,

∴  b = 5 & l = 12