Question

the diagonal of the rectangular field is 26m more than the shorter side .if the longer side is 14m more than the shorter side .find the side of the fields.​

Answer 1

Answer:

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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+x2=(x+16)2

⇒x2+28x+196+x2=x2+32x+256

⇒x2+x2−x2+28x−32x+196−256=0

⇒x2−4x+60=0

⇒x2−10x+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