Question

Hagrid plans to put up new fencing around his rectangular garden. He wants the width of his new garden to be 6 less than the length. The perimeter of the new garden will be 188 feet. Create and use an algebraic equation to find the dimensions (length and width) of Hagrid's new garden. Show your work!

Answer 1

Lenght=50 feet.

Width=44 feet.

Explanation:

1. He wants the width of his new garden to be 6 less than the length, this can be expressed as following:

`W=L-6`

Where W is the width L is the length.

2. The perimeter of a rectangle can be calculated with:

`P=2L+2W`

3. You know the perimeter, therefore, you can substitute
`W=L-6` into the equation of the perimeter and solve for the length:

`2L+2(L-6)=188\\2L+2L-12=188\\4L=200\\L=50` (The length is 50 feet)

3. Then, the width is:

`W=L-6`

`W=50-6=44` (The width is 44 feet)