Perimeters=2(L+B)=200
L+B=100
L=(100-B).....(**)
LB=2400.....(***)
Plug (**) into (***)
B(100-B)=2400
-B²+100B=2400
B²-100B+2400=0
Hint -40×-60=2400
-40-60=-100
Note that the length is greater than the width
Now what would B look like?
gopi has rectangular garden plot surrounded by 200 meter of fence. find the width of the garden if its area is 2400 square meter.
2 answers
2L + 2W = 200
Eq1: L + W = 100.
L*W = 2400
L = 2400/W.
2400/W + W = 100
2400 + W^2 = 100W
W^2 - 100W + 2400 = 0
W = (100 +- sqrt(10000-9600))/2 = 60, and 40 Ft.
W = 40 Ft., the shortest length.
In Eq1, replace W with 40 and solve for L.
Eq1: L + W = 100.
L*W = 2400
L = 2400/W.
2400/W + W = 100
2400 + W^2 = 100W
W^2 - 100W + 2400 = 0
W = (100 +- sqrt(10000-9600))/2 = 60, and 40 Ft.
W = 40 Ft., the shortest length.
In Eq1, replace W with 40 and solve for L.
0 answers