If eight members of the caldwell family are paint a wall and they started with one side that was 86 feet long if they shared that wall equally, how much will each person get to paint?

Each Person in Caldwell family will get 10.75 feet to paint.

Step-by-step explanation:

Number of members in family = 8

Length of the wall = 56 feet.

We need to find length each person will get to paint the wall

To find length per person will paint can be calculated by dividing the length of wall with Number of members in family.

Now Framing in equation form we get;

length per person will paint =

Now Substituting the values we get;

length per person will paint =

Hence Each Person in Caldwell family will get 10.75 feet to paint.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240