Question

: You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acre = 43,560 square feet) to build a house. How many acres are in this building lot and how many houses will the town allow you to build on this lot?

Answer 1

1.074 acres are there in this building lot.

2 houses will be allowed to build on this lot.

Explanation:

Dimensions of the building lot are 260 ft
`*` 180 ft.

The building lot is rectangular in shape.

Area of the building lot (Length
`*` Width) is:

`260 * 180 \\\Rightarrow 46800\ ft^2`

It is given that:

`43,560\ ft^2 = 1\ acre\\1\ ft^2 = (1)/(43560\ acres)\\46800\ ft^2 = (1)/(43560) * 46800\ acres\\\Rightarrow 1.074\ acres`

So, 1.074 acres are there in this building lot.

A house is build on
`(1)/(2)` acres and we have ~1 acre of land in the building lot.

So, town will allow to build 2 houses on this land.