Calculate the area and perimeter of the polygon.

a) P = 24.2 units

b) A = 13.9 square units

Step-by-step explanation:

Perimeter = + + 4 + 4

P = 2 + 8 which is approx 24.2 units

To find area you must find the height which can be done using the Pythagorean Theorem (we can do this for the small triangle on the left):

(²) + h² = (²)

5 + h² = 10

h² = 5

h =

A = bh

A = (4 + )

A = 4 + 5 which is approx 13.9 square units

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

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12