Question 106691
L*w=A
2L+2w=P
.
L*w=926
Our 2nd formula  uses the perimeter formula plus the extra fencing to divide the corral in quarters. We have to use 3 instead of 2 for the coeficients of L and w because of the extra fencing to divide the coral into 4ths. we also have to subtract 2 from L and w to account for the 1 m strip of land not used for the corral
3(L-2)+3(w-2)=190
3L-6+3w-6=190
3L+3w-12=190
3L+3w=190+12
3L+3w=202
.
A) L*w=926
B) 3L+3w=202
.
L=926/w
3(926/w)+3w=202 substitute 926/w for L
2778/w+3w=202
2778+3w^2=202w multiply each side by w to eliminate the fraction.
3w^2-202w+2778=0
Quadratic Formula (see below): w=19.26 m, w= 48.06
I made L= 48.06 m and w= 19.26 m
.
Ed
 *[invoke solve_quadratic_equation 3, -202, 2778]
{{{graph(500,500,-10,75,-750,100,3x^2-202x+2778)}}}