Let
width,w
length, l = 1.6w ...eqn 1
area, a = l × w ...eqn 2
subst for l in eqn 2
a = 1.6 w × w = 4000
4000 = 1.6 w^2
w^2 = 2500
w = 50
subst for w in eqn 1
l = 50 x 1.6 = 80
length = 80 yds
width = 50 yds
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They are similar. Set the proportions equal to each other
(x + 8)/8 = (x+14)/12
Cross multiply
(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)
12(x + 8) = 8(x + 14)
Distribute the 12 and 8 to the corresponding monomials inside the parenthesis
12(x + 8) = 12x + 96
8(x + 14) = 8x + 112
12x + 96 = 8x + 112
Isolate the x. Subtract 8x from both sides and 96 from both sides
12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)
12x - 8x = 112 - 96
4x = 16
Isolate the equal sign. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
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4 is your answer for x
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hope this helps
Step-by-step explanation:
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