Question

"The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards)." im not sure where to start.

Answer 1

Length: 160 yards

Width: 130 yards

Explanation:

The perimeter is the sum of all the sides, in a rectangle then it would be twice the length and twice the width. We know that the length is 30 yards more than the width, so we can set the following:

`\begin{gathered} p=2\cdot L+2\cdot W \\ L=30+W \\ \text{ Replacing} \\ 580=2\cdot(30+W)+2W \\ 580=60+2W+2W \\ 4W=580-60 \\ W=(520)/(4) \\ W=130 \\ \text{Now, for L} \\ L=30+130 \\ L=160 \end{gathered}`

The length is 160 yards and the width is 130 yards.