Sketch the algebra-tile shape at right on your paper. Write an expression for the

perimeter of the shape. Then find the perimeter for each of the given values of x.

Part 1)

Part 2)

a)

b)

c)

Step-by-step explanation:

The complete question in the attached figure

Part 1) Write an expression for the  perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

so

The length and the width of the larger square is x units

2) The area of the rectangle is given

so

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

so

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation: