Special triangles find the value of x

x = 50

Step-by-step explanation:

Since this is a right triangle we can use special triangles

The angle next to the x is 60 degrees since it is a 30 60 90 triangle

The side opposite the 30 degree angle is the shorter side

The hypotenuse - 2 * shorter leg

100 = 2 * x

x = 50

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