Question

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

Answer 1

Answer:

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Step-by-step explanation:

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

Answer 2

Answer:

Shorter side = 90m

Longer side = 120m

Diagonal = 150m

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