Question

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.

Answer 1

Step-by-step explanation:hi

Answer 2

Part 1)
`P=(4x+4)\ units`

Part 2)

a)
`P=32\ units`

b)
`P=26\ units`

c)
`P=13(1)/(3)\ units`

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

`A=x^2\ units^2`

so

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

2) The area of the rectangle is given

`A=x\ units^2`

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

`P=(x+x+x+x+1+1+1+1)`

`P=(4x+4)\ units`

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

`P=(4(7)+4)=32\ units`

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

`P=(4(5.5)+4)=26\ units`

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

`P=(4((7)/(3))+4)=(40)/(3)=13(1)/(3)\ units`