Question

The fence around my rectangular back yard is 48 feet long. My yard is 3ft longer than twice the width. What is the

width of my yard?
What is the length?
Show an algebraic equation, with a variable, and all of your calculations in addition to your answer.

Answer 1

Width = 7 ft

Length = 18 ft

Explanation:

Let's call the width by x, so if the length is 3 longer than twice the width, the length will be 2x +3

If the fence have 48 feet, it means that the sum of all the sides are 48, so we can do:

2x +3 + 2x +3 + x + x = 48

6x +6 = 48

6x = 42

x = 42/6

x = 7

Now, we called x the width, so if x=7, the width is 7ft. If the length is 2x + 3, then it will be 2•7 + 3 = 18 ft