Question

Braelyn is writing an equation to represent the perimeter of a rectangle with the width equal to half the length. She knows that the perimeter is equal to 18 units and needs to find the length and width of the rectangle. Which equations represent this relationship? Select the four correct answers.

Answer 1

Given that,

The perimeter of a rectangle, P = 18 units

Width = half of the length.

To find,

Equation that represent the relation between length and width.

Solution,

We have,

P = 18

Let length is l and width is b.

b = l/2

The perimeter of a rectangle, P = 2(l+b)

Put all the values,

18 = 2(l+l/2)

9 = l+l/2

3l/2 = 9

and

`b=((3l)/(2))/(2)`

Therefore, this is the required solution.