Question 168386
3*5=15 M^2 FOR THE POND.
(3+2X)(5+2X)=39
15+10X+6X+4X^2-39=0
4X^2+16X-24=0
4(X^2+4X-6)=0
USING THE QUADRATIC EQUATION{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}WE GET:
X=(-4+-SQRT[4^2-4*1*-6])/2*1
X=(-4+-SQRT16+24])/2
X=(-4+-SQRT40)/2
X=(-4+-6.325)/2
X=(-4+6.32)/2
X=2.32/2
X=1.16 M. IS THE WIDTH OF THE WALK.
PROOF:
(3+2*1.16)(5+2*1.16)=39
(3*2.32)(5+2.32)=39
5.32*7.32=39
39~39