Question

8.The shorter side of a rectangle is
7m less than the longer side and
the diagonal is 18m more the
longer side find the area of
rectangle.​

Answer 1

Answer:

Step-by-step explanation:

Let the shorter side =x m

diagonal of the rectangle =x+16 m

Longer side =x+14 m

∴(AB)  

2

+(BC)  

2

=(AC)  

2

 

∴(x+14)  

2

+x  

2

=(x+16)  

2

 

⇒x  

2

+28x+196+x  

2

=x  

2

+32x+256

⇒x  

2

+x  

2

−x  

2

+28x−32x+196−256=0

⇒x  

2

−4x+60=0

⇒x  

2

−10x+6x−60=0

⇒x(x−10)+6(x−10)=0

⇒(x−10)(x+6)=0

Hence, x=10 or −6

x=−6 is not admissible

So, x=10

Breadth of rectangle =10 m

Length of rectangle =10+14=24 m