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.

pls answer this question as soon as possible ​

Answer 1

Answer:

Let the length of the shorter side be x m....

Then the diagonal is ( x + 60 ) m and longer side is ( x + 30 ) m.........

By Pythagoras theorem...we know that......

x² + (x+30)² = (x+60)²

=> x²+x²+900+60x = x²+3600+120x

=> x² - 60x - 2700

=> x² + 30x - 90x - 2700

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

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

Therefore x = +90 and x = -30

As the length can't be negative.....

Hence the length of the sides are...

shorter = 90m

longer = 120m

diagonal = 150m

This is your required answer.....

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Answer 2

Answer:

this is your ans

I hope it helps to you