Question

Write and simplify an expression for the perimeter of each figure

Answer 1

4d + 6c - 6

Explanation:

The perimeter of the rectangle is the sum of all 4 sides

perimeter = 2d - 3 + 3c + 2d - 3 + 3c = 4d + 6c - 6

Answer 2

`4d+6c-6`

Explanation:

We have been given a figure. We are asked to write an expression for the perimeter of our given figure.

We know that perimeter of a solid is sum of all of its side.

We can see that opposite side of our given figure are equal and our given figure is a rectangle.

We know that perimeter of rectangle is two times the length and width of rectangle, so the perimeter of our given figure would be:

`2* (2d-3+3c)`

Use distributive property:

`2* 2d-2* 3+2* 3c`

`4d-6+6c`

`4d+6c-6`

Therefore, the perimeter of our given figure is
`4d+6c-6`.