Nautical flags are used to represent letters of alphabets. the flag for the letter o consists of a yellow right triangle and a red right triangle joined together along their hypotenuse to form a square. the joint hypotenuse of the two triangles is three inches longer than a side of the square. find the length of a side of the flag. round your answer to the nearest tenth.

S = 7.24

Step-by-step explanation:

Attached image.

We can use the pythagorean theorem to solve this. It states

Where

c is the hypotenuse (s + 3)

a and b are th two legs (s each respectively)

So we have:

Since length can't be negative, we take

s = 7.24

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