Alan solved the proportion StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction as shown. StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction. (8) (x) = (25) (200). 8 x = 5,000. StartFraction 8 x over 8 EndFraction = StartFraction 5,000 over 8 EndFraction. X = 625. What is Alan's error?

He should have cross-multiplied 8×200 to get 1600, then divide 1600÷25=64

Step-by-step explanation:

Use logic. If the numerator of the given fraction is less than half of the denominator, the value of x will have to be less than half of 200.

It is also possible to see that the denominator 25 is a factor of 200. If you know that 25×8=200, you can multiply the numerator 8×8 to get 64.

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet