Question

Niles wants to put chicken wire around an enclosure for his dog, nip. He decides that he wants the length to be 5cm more than the width. if he has 22m of wire, what are the dimensions of the enclosure?

How do you do this question?

Answer 1

Length : `8` metres

Width : `3` metres

Explanation:

Let's assume that the width of the enclosure is `x`.

So, The length of the enclosure is `(x + 5)`.

Now, According to the question,

`color(white)(xxx)2{x + (x + 5)} = 22`

`rArr {x + x + 5} = 22/2` [Transposed 2 to the R.H.S]

`rArr 2x + 5 = 11`

`rArr 2x = 6` [Transopsed 5 to the R.H.S]

`rArr x = 3`

So, The width of the enclosure is `3` metres.

So, The length of the enclosure is `(3 + 5) = 8` metres.

Hence Explained.