the area of a rectangular field is 0.5 hectares. if one of the sides of the field is 40 metre ,find the other side.
Answers
Answer:
Given that diagonal of a rectangular field is 60 metres more than the shorter side
So diagonal will = x+60m
Given that the longer side is 30 metres more than the shorter side =Longer side = x+30m
All angles in rectangle is always = 90
so that we can Use Pythagoras theorem
Diagonal
2
= shorterside
2
+longerside
2
Plug the values In this we get (x+60)
2
= (x)
2
+ (x+30)
2
= x
2
+x
2
+60x+900
(a+b)
2
=a
2
+b
2
+2ab
We get x
2
+120x+3600 = x
2
+x
2
+60x+900
x
2
+120x+3600 subtracting both side we get
0=x
2
−60x−2700
Factorize it now x
2
−90x+30x−2700=0
x(x−90)+30(x−90)=0
(x−90)(x+30)=0
x−90=0orx+30=0
x=90 or x=−30
Any side of rectangle cannot negative
so shorter side = x+30=90+30=120 m
Diagonal is = x+60=90+60=150 m
10000 = 5000 m^2 so, area=l. B= l. 12=5000, l=5000/12.5=400m so other side is 400m.
Answer:
125m
Step-by-step explanation:
let, other side=x
0.5hectare =5000m²
therefore,
5000=x × 40
x=125 m