Question

Write down two expressions for the

perimeter of this shape, one with
brackets and one without
[ + 7
P (with brackets)
P (without brackets) =​

Answer 1

Perimeter with brackets is:
`\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}`

perimeter without brackets is:

`\mathbf{Perimeter = 4t+28}`

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:
`Perimeter = Sum\: of\: all\: sides`

Since the shape has 4 sides, we get:

`Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)`

So, perimeter with brackets is:
`\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}`

Now, finding perimeter without brackets:

`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`

So, perimeter without brackets is:

`\mathbf{Perimeter = 4t+28}`