Question

Question #d788f

Answer 1

The length is 24 yards.

Explanation:

Let "w" represent the width of the house.
Then "3w" represents the length of the house since the length is three times its width.
Since the length is 16 yards more than the width, we know that
if we subtract the width from the length, the answer is 16:

(length) - (width) = 16

Substituting "w" for the width and "3w" for the length in this equation,
`3w-w=16`

Combining like terms on the left side of the equation,
`2w=16`

Then, dividing both sides by 2,
`w=8`

Since `3w` represents the length of the house, let `w=3` and substitute into the expression for length, giving the result `3w=3(8)=24`.

Therefore the length of the house is 24 yards.