Have to show your work... I have the answers but need the equations to get me there.
2007-02-02 05:15:14 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
2L + 2W = 900
(L)(W) = 50000
Write L as 50000/W
2(50000)/W + 2W = 900
Multiply both sides by (W/2):
50000 + W^2 = 450W
W^2 - 450W + 50000 = 0
(W - 200)(W - 250) = 0
Length and width are 250 and 200 feet
2007-02-02 05:18:00 · answer #1 · answered by MamaMia © 7 · 2⤊ 1⤋
p=900 L=length and W =width
2(L+W)=900 (eq 1)
L*W=50000 (eq 2)
eq 1 => 2L=900-2W => L=450 -W thus (450-W)W=50000
450W-W^2=50000
W^2-450W+50000=0
By solving this equation we have
W=(450+sqrt(2500))/2=500/2=250
L=450-250=200
2007-02-02 13:31:48 · answer #2 · answered by Esmaeil H 2 · 0⤊ 0⤋
900 = 2L + 2B and LB = 50,000, L = 50,000/B
900 = 100,000/B + 2B
900B = 100,000 + 2B²
2B² - 900B + 100,000 = 0
B² - 450B + 50,000 = 0
(B - 200)(B - 250) = 0
B = 200 or B = 250
Sides of rectangle are 200 ft and 250 ft
2007-02-02 13:40:01 · answer #3 · answered by Como 7 · 0⤊ 0⤋
2(l+w)=900
l+w=450
l=450-w
lw=50000
(450-w)*w=50000
w^2-450w+50000=0
2007-02-02 13:26:02 · answer #4 · answered by raj 7 · 0⤊ 1⤋