SOLUTION: jane's garden was doubled when she added equal amount of meters to its length and width.if the original dimension where 9 m and 6 m,what would be the final dimension of the enlarg

Algebra ->  Rectangles -> SOLUTION: jane's garden was doubled when she added equal amount of meters to its length and width.if the original dimension where 9 m and 6 m,what would be the final dimension of the enlarg      Log On


   

Question 482059: jane's garden was doubled when she added equal amount of meters to its length and width.if the original dimension where 9 m and 6 m,what would be the final dimension of the enlarged garden?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The original area was +9%2A6+=+54+ m2
Double this area is ++108+ m2
given:
+108+=+%28+9+%2B+x+%29%2A%28+6+%2B+x+%29+
+108+=+54+%2B+6x+%2B+9x+%2B+x%5E2+
+x%5E2+%2B+15x+-+54+=+0+
Use the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+1+
+b+=+15+
+c+=+-54+
x+=+%28-15+%2B-+sqrt%28+15%5E2-4%2A1%2A%28-54%29+%29%29%2F%282%2A1%29+
x+=+%28-15+%2B-+sqrt%28+225+%2B+216+%29%29+%2F+2+
x+=+%28-15+%2B-+sqrt%28+441+%29%29+%2F+2+
+x+=+%28-15+%2B+21%29+%2F+2+
+x+=+6%2F2+
+x+=+3+
The final dimensions are +9+%2B+3+=+12+ and +6+%2B+3+=+9+
= 12 m x 9 m
check:
+12%2A9+=+108+
OK