Question

The length of a rectangle is 6 inches more than it’s width. if the perimeter of the rectangle is 24 inches, find the dimensions. create let statement and write equation.

Answer 1

Answer:

The dimensions of the rectangle are;

Width = 3 inches

Length = 9 inches

Step-by-step explanation:

Given;

• Perimeter of the rectangle is 24 inches
• Length is 6 inches more than the width

We want to determine the dimensions of the rectangle;

• Let the width of the rectangle be x inches
• This means, the length of the rectangle will be (x+6) inches
• But, Perimeter = 2(L+W)

Forming an equation, we get;

2 ( x + x + 6) = 24

4x + 12 = 24

With the equation we can solve for x

4x = 24 - 12

4x = 12

  x = 3

and (x + 6) = 9

Therefore;

Width = 3 inches

Length = 9 inches