Question

The diagonal of a rectangular field is 20 metres more than the shorter side. If the longer side is 10 metres more than the shorter side, find the sides of the field.​

Answer 1

Step-by-step explanation:

let the breadth be x metre

diagonal--20+x

length----10+x

it is a right angle triangle

l²+b²=h²

x²+100+x²+20x= 400+x²+40x

x²-20x-300=0

x²+10x-30x-300=0

(x-30) (x+10)=0

x=30 metre

length=10+30=40metre