Question

the diagonal of a rectangular field is 60 metre more than the shorter side if the longer side is 30 more than the shorter side find the side of the field ​

Answer 1

Answer:

The answer is1800 or 3600

Answer 2

Answer:

let shorter side = x

longer side = 30+x

diagonal = 60+x

we know that each angle of rectangle in 90, so by pythagoras theorem

(60+x)^2 = (30+x)^2 + x^2

3600+x^2 + 120x = 900+^2 +60x + x^2

x^2 -60x- 2700

x(x-90) +30 (x-90)

x=90

hence, shorter side= 90

longer side= 90+30 = 120