Answer:
L = 35
W = 10
Step-by-step explanation:
Let L be the length & W be the Width of rectangle.
Area = 350
350 = LW eq.1
Perimeter = 90
90 = 2L + 2W
L = (90 -2W)/2
substitute L to eq.1
350 = W(90-2W)/2
700 = 90W-2W^2
700 = 90[tex]W^{}[/tex] - 2[tex]W^{2}[/tex]
2[tex]W^{2}[/tex] - 90[tex]W^{}[/tex] + 700 = 0
[tex]W^{2}[/tex] - 45W + 350
factoring the quadratic eq.
(W - 35) (W - 10 ) = 0
W = 35 or W = 10
checking from Area.
A=LW
W = 10
350 = 10L
L = 35, ok
