A triangular paddock has a road AB forming its hypoteneuse. AB is 3km long. The fences AC and CB are at right angles. If BC is 400m longer than AC, how do you find the area of the paddock? (in hectares)

Question

anonymous · Answer

You need to solve teh quadratic $$3000^2=(AC+400)^2+BC^2$$ (from Pythagoras' theorem)

anonymous · Answer

Opps. That last term should be $$AC^2$$ also

anonymous · Answer

9 = x^2 +(x+400)^2
solve for x to get 
x ~ 1.91187 km

then, just multiply 1.91187 by (1.91187 + 0.40000) to get 

area of paddock ~ 4.41999... km2

then just convert km2 to hectares

1 km2 = 100 ha
so
4.419999 km2 = 441.999... hectares ~ 442 hectares

anonymous · Answer

did I mention how cute you are?

anonymous · Answer

yes.. and oh my.. i'm flattered..      haha

anonymous · Answer

<3

saifoo.khan · Answer

lol.