Hi,
1) Let x and (x+ 2yd) represent the width and length respectively
x(x+2) = 80 yd^2
x^2 + 2x - 80 = 0
factoring
(x+10)(x-8) = 0 Note:SUM of the inner product(10*x) and the outer product(-8x) = 2x
(x+10)=0
x = -10 Tossing out negative solution
(x-8) = 0
x = 8yd , the width, the length 10yd (8yd + 2yd)
2)find the coordinates of the vertex:
the vertex form of a parabola,
where(h,k) is the vertex
y=2x^2+4x-1 Completing the square
y = 2[(x +1)^2 -1] - 1
y = 2(x+1)^2 - 2 - 1
y = 2(x+1)^2 - 3
Vertex Pt(-1,-3)