5. a banner is made of a square and a semicircle. the square has side lengths of 26 inches. one side of the square is also the diameter of the semicircle. what is the total area of the banner? use 3.14 for pi

941.33 square inches

Step-by-step explanation:

Given : The side length of square = 26 inches

Area of square =

Also, it given that one side of the square is also the diameter of the semicircle.

i.e. diameter = 26 inches

Radius = half of diameter = 13 inches

Then , the area of the semicircle =

Now, the  total area of the banner = Area of square +Area of semicircle

Hence, the total area of the banner= 941.33 square inches

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