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

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step-by-step explanation:

54.864 meters

step-by-step explanation: