Chapter 0.5, Problem 13E

a.

To determine

To draw: To draw a square that has sides that are twice the length of the given square.

Answer to Problem 13E

The length of the new square is $2x$.

Explanation of Solution

Given information: Square that has sides that are twice the length of the given square.

Expiations:

Suppose the length of the given square is ‘x’.

Therefore, the length of the new square is $2x$

Given square:

New square:

  

b.

To determine

To draw: To draw a square that has sides are change as given.

Answer to Problem 13E

The perimeter of the squares are $4x,6x,8x\text{ and,}10x$ .

Explanation of Solution

Given information:

Square is

Suppose the length of the given square is ‘x’.

Therefore, the length of the new squares are $2x,3x$ and, $4x$ .

Perimeter: The sum of all sides is called perimeter.

New squares:

Side Length	Perimeter
$x$	$x+x+x+x=4x$
$2x$	$2x+x+2x+x=6x$
$3x$	$3x+x+3x+x=8x$
$4x$	$4x+x+4x+x=10x$

c.

To determine

To calculate: Analyze the perimeter of the square.

Answer to Problem 13E

The perimeter of the square is also increases.

Explanation of Solution

Given information:

Suppose the length of the given square is ‘x’.

Therefore, the length of the new squares are $2x,3x$ and, $4x$ .

Explantion:

Perimeter: The sum of all sides is called perimeter.

Side Length	Perimeter
$x$	$x+x+x+x=4x$
$2x$	$2x+x+2x+x=6x$
$3x$	$3x+x+3x+x=8x$
$4x$	$4x+x+4x+x=10x$

d.

To determine

To calculate: Calculate the perimeter of the square.

Answer to Problem 13E

The perimeter of the square is $18x.$

Explanation of Solution

Suppose the length of the given square is $\text{'}x\text{'}$ and width is also equal to $\text{'}x\text{'}$

When length of the square is multiply by 8, the length of the square become $=8x$

Perimeter: The sum of all sides is called perimeter.

Perimeter $=8x+x+8x+x=18x$ .