If a parcel of land is 3 acres and the front width is 450 feet, what is the depth of the lot?

To find the depth of the lot, we can use the relationship between area, width, and depth. The area of a piece of land is calculated by multiplying its width by its depth. In this case, we know the area of the parcel is 3 acres, and we need to convert that into square feet for consistency with the given width.

One acre equals 43,560 square feet, so 3 acres is:

3 acres × 43,560 square feet/acre = 130,680 square feet.

Now, we use the formula for the area:

Area = Width × Depth.

We can rearrange this to solve for depth:

Depth = Area / Width.

Substituting the values we have:

Depth = 130,680 square feet / 450 feet.

When we do the division, we find:

Depth = 290.4 feet.

Thus, the depth of the lot is indeed 290.4 feet, which confirms the accuracy of the calculation and provides the correct answer. This process illustrates how to manage calculations for area, width, and depth effectively.