Question

The length of the diagonal of rectangular field is 60 metres more than the shorter side if the largest side is 30 m more than the shorter side find the side of the field

Answer 1

Solution:

Let the length of the shorter side be x metres.

Thus the length of the longer side=(x+30) m

Length of the diagonal=(x+60)m

Each angle of a rectangle=90 degrees

By Pythagoras Theorem, (diagonal)2=(shorter side)2+(longer side)2

(x+60)2 = x2+(x+30)2 x2-60x-2700=0 

=> (x+30)(x-90)=0

=> x=-30 or x=90

As the length of a side cannot be negative,

the length of the shorter side = 90 m.

Thus, the length of the longer side=120

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Answer 2

Answer:

this is your ans

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