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nordsb [41]
3 years ago
11

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

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

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

Part 2)

a) P=32\ units

b) P=26\ units

c) P=13\frac{1}{3}\ units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

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(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units

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