# Algebra

The ratio of the length to the width of a golden rectangle is (1 + √(5):2:.The dimensions of a garden form a golden rectangle. The width of the garden is 12 feet. Find the length L of the garden. Round your answer to the nearest foot.

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1. You will be solving for the Length L given the proprotion that has w/L = w/L where the first two numbers come from the golden rectangle
(1 + √(5)/2 = w/L
and they give you a width of 12 so put it in, then solve for L : )
(1 + √(5)/2 = 12/L
L(1 + √(5)= 12(2)
L = 24/(1 + √(5)
L = ...

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3. I'm sort of confused...It's multiple choice though...
A.) 7ft
B.) 24ft
C.) 29 ft
D.) 19 ft

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4. So sorry Tom...
We need
L/W = L/W
so
(1 + √(5)/2= L/12
so
(12)(1 + √(5)=2L
divide both sides by 2
6(1 + √(5)= L
So yes !!
L = 19.416
which is letter D : )

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