question is below :)

Question

Helen is fencing off two areas for her rabbits and her chickens. The length of one area is 2 m more than double its width. the length of the other is 3 m less than its width. if the width of both areas is the same, write an expression to describe how much fencing she will require to fence both areas.

Answer 1

Alright, Laura, I hope I can still help!

 

Let's let w = our width of both areas.

 

Then, the length of the first is 2w + 2, 2 m more than twice the width.

 

The length of the second is w - 3, 3 m less than the width.

 

The fencing goes around the outside, so we need to find the perimeter of our areas.

 

P = 2l + 2w, right? We have to find the perimeter of both!

 

2(2w + 2) + 2w + 2(w - 3) + 2w = 4w + 4 + 2w + 2w - 6 + 2w = 10w -2.

 

So, we have P = 10w - 2.

 

Hope this helps!