Answer:
Perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]
perimeter without brackets is:
[tex]\mathbf{Perimeter = 4t+28}[/tex]
Step-by-step explanation:
We need to write two expressions for the perimeter of given shape, one with brackets and one without.
Length of side of shape = t+7
The formula used to find perimeter is: [tex]Perimeter = Sum\: of\: all\: sides[/tex]
Since the shape has 4 sides, we get:
[tex]Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)[/tex]
So, perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]
Now, finding perimeter without brackets:
[tex]Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\\Perimeter = t+7+t+7+t+7+t+7\\Combining\:like\:terms:\\Perimeter=t+t+t+t+7+7+7+7\\Perimeter=4t+28[/tex]
So, perimeter without brackets is:
[tex]\mathbf{Perimeter = 4t+28}[/tex]
