SOLUTION: A farmer is tilling a square field with an area of 900m^2. After 3 hrs, he tilled 2/3 of the given area. 1. Find the side of the square field. 2. What are the dimensions of the t

Algebra ->  Test -> SOLUTION: A farmer is tilling a square field with an area of 900m^2. After 3 hrs, he tilled 2/3 of the given area. 1. Find the side of the square field. 2. What are the dimensions of the t      Log On


   

Question 1106204: A farmer is tilling a square field with an area of 900m^2. After 3 hrs, he tilled 2/3 of the given area.
1. Find the side of the square field.
2. What are the dimensions of the tilled portion?
3. If the area of the square measures 180m^2, find the length of its side.
4. Between which consecutive whole numbers can we find this length?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+Let+%7B%7B%7B+s+ = a side of the square field
+s%5E2++=+900+ m2
+s+=+sqrt%28+900+%29+
(1)
+s+=+30+
---------------------
(2)
+%282%2F3%29%2A900+=+600+
Let +x+ = the shortest side of
the +600+ m2 area
+30x+=+600+
+x+=+20+
The dimensions of tiled portion are 20 x 30
--------------------------------------------
(3)
+s%5E2+=+180+ m2
+s+=+sqrt%28+180+%29+
+s+=+sqrt%28+36%2A5+%29+
+s+=+6%2Asqrt%285%29+
--------------------------
(4)
+sqrt%28+5+%29+ is between +2+ and +3+
+6%2Asqrt%28+5+%29+ is between +12+ and +18+