Question

The length of a rectangle is twice the width. Find the width if the perimeter is 36 centimeters. Define a variable, write an equation, and solve the problem.​

Answer 1

Answer:

12cm

Step-by-step explanation:

1. Define the variable:

x = length of the rectangle

2x = width of the rectangle

2. Set the equation:

x + 2x is half of the rectangle

2(x + 2x) is the perimeter

So,

2(x + 2x) = 36

2x + 4x = 36

6x = 36

x = 6

Since x is the length, multiply it by 2 to find the width.

2x = 12