is a lot 100' x 180' x 100' x189' a half acre?

Answer 1

No, a lot measuring 100' x 180' x 100' x 189' is not half an acre. An acre is a unit of measurement for land area, and it is equal to 43,560 square feet. Therefore, half an acre would be 21,780 square feet. To calculate the area of the lot you mentioned, you need to multiply all four sides together:

100 x 180 x 100 x 189 = 3,402,000 square feet

Converting this to acres, you would divide the number by 43,560:

3,402,000 / 43,560 = 78.12 acres

Therefore, the lot is actually over 78 acres in size, which is significantly larger than half an acre.

Answer 2

To determine if the lot is a half-acre, we need to calculate its area in square feet and then convert it to acres. The lot you described has an irregular shape, with two sides measuring 100 feet and the other two sides measuring 180 feet and 189 feet, respectively. This lot can be divided into two triangles, one with a base of 100 feet and a height of 180 feet and another with a base of 100 feet and a height of 9 feet (the difference between 180 and 189).

First, calculate the area of each triangle:

Triangle 1:

Area = 0.5 x base x height = 0.5 x 100 x 180 = 9,000 square feet

Triangle 2:

Area = 0.5 x base x height = 0.5 x 100 x 9 = 450 square feet

Now, add the areas of the two triangles to find the total area of the lot:

Total area = 9,000 + 450 = 9,450 square feet

To convert square feet to acres, divide the total area by the number of square feet in an acre (43,560 square feet):

Total area in acres = 9,450 / 43,560 ≈ 0.217 acres

The lot is approximately 0.217 acres, which is less than half an acre (0.5 acres).