A Pythagorean Theorem problem
A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the playground?

The side of the playground is 15.556m

Step-by-step explanation:

the problem tells us that the patio is square so all its sides will be the same length

the Pythagorean theorem tells us that h² = c1² + c2²

h = Hypotenuse

c1 = leg1

c2 = leg2

Since we know that the sides of the square are all of the same measure, we only need to put only c since the 2 legs will be equal

h² = c² + c²

h² = c² + c²

h² = 2(c²)

22² = 2(c²)

484 = 2(c²)

484/2 = c²

242 = c²

√242 = c

15.556 = c

The side of the playground is 15.556m

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)