Question

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.​

Answer 1

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Let the length of the shorter side be x metres.

 

 The length of the diagonal= 60+x metres

The length of the longer side =30+x metres

Applying Pythagoras theorem, 

Diagonal²=longer side²+shorter side²

(60+x) ²= (30+x) ² + x²

3600+120x+x²=900+60x+x²+x²

2700+60x-x²=0

2700+90x-30x-x²=0

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

X=90, 

Shorter side is 90m, 

longer side is 90+30=120m

longer side is 90+30=120m 

Answer 2

Answer:

this is your ans

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