Question

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

Answer 1

Let the shortest side =x

Long side =x+30

Diagonal =x+60

X=?

By pytgagoras theorem

(Perpendicular) ²+(base)²=(hypo)²

(30+x)²+x²=(x+60)²

x²+60x+900+x²=x²+120x+3600

x²=2700+60x

x²-60x-2700=0

x²-90x+30x-2700=0

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

x=90,-30

But side cannot be negative

So the shortest side is 90, longer side is 120 cm and diagonal is 150 cm

Answer 2

Answer:

this is your ans

I hope it helps