Find the value of the variable and the length of each chord.

y=
DE =
FG =

y=6

DE=7

HG=8

Step-by-step explanation:

-For chords intersecting each other within a circle, the product of their segments are always equal.

-We can therefore use this relationship to calculate the lengths of missing chords and segments as:

Hence, the length of the segment HG is 6

The length of a chord is equivalent to the sum of its segments;

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