Answers:
x = 1 or x = 16
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Work Shown:
Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.
Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.
The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x
Set the fractions equal to one another. Solve for x
32/4 = 8/x
32x = 8*4 ... cross multiply
32x = 32
x = 32/32 ... divide both sides by 32
x = 1
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Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component
Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.
We now have this equation to solve for
32/x = 8/4
once again, note the swap
Let's solve for x
32/x = 8/4
32*4 = 8*x
128 = 8x
8x = 128
x = 128/8
x = 16