How long and wide would 0.31 acres be thanks?

Answer 1

Area is the amount enclosed by the perimeter. Consider an area of 6 units²

It could be 6 units long by 1 unit wide: area = 6 units × 1 unit = 6 units²

Or it could be 3 units long by 2 units wide: area = 3 units × 2 units = 6 units²

So you can see, it is IMPOSSIBLE to give a single answer for a rectangle with a given width - there are two DIFFERENT rectangles with the SAME area.

As you want a rectangular area, then:

length × width = area

→ length = area ÷ width

1 acre = 4840 sq yards

→ length = 0.31 × 4840 sq yards ÷ width = 1500.4 sq yards ÷ width

So choose your width in yards and you can then calculate the required length.

Examples:

• Width = 1 yard→length = 1500.4 sq yards ÷ 1 yard = 1500.4 yards→a rectangle 1 yard by 1500.4 yards;
• Width = 10 yards→length = 1500.4 sq yards ÷ 10 yards = 150.04 yards→a rectangle 10 yards by 150.04 yards;
• Width = 38.735 yards→length = 1500.4 sq yards ÷ 38.735 yards ≈ 38.735→a rectangle 38.735 yards by approx 38.735 yards (nearly a square);
• Width = 1 inch = 1/36 yard → length = 1500.4 sq yards ÷ 1/36 yards = 54014.4 yards→a rectangle 1 inch by 54014.4 yards.

Answer 2

The area of a shape provides no information at all on its dimensions. The area could be circular, triangular or some random shape rather than rectangular. If, on the basis that you ask how long and wide it is, that the area is rectangular, you still cannot differentiate between a square area or a very long thin shape.