# Math Help - Basic Unit Conversions with land area

1. ## Basic Unit Conversions with land area

If you have a piece of land you are selling that is 13.88 acres (604162.8 sq ft) and you are selling it at $4.95 / square ft. The buyer wants to know what the equivalent land price is in$ / acre. How would you go about setting this problem up?

What I did was
1 Acre = 43560 Square Feet
1 Acre = 43560 * $4.95, thus$215,622 per acre
13.88 acres total * $215,622 per acre =$2,992,833.36

is this correct, if so how do I go about checking this (e.g. plugging in numbers), I checked it by saying 13.88 acres = 604612.8 sq ft x $4.95 (per sq ft) =$2,992,833.36. Is this correct, could I have solved by using something fancier like algebra instead of juggling it around like I did?

2. Originally Posted by allyourbass2212
If you have a piece of land you are selling that is 13.88 acres (604162.8 sq ft) and you are selling it at $4.95 / square ft. The buyer wants to know what the equivalent land price is in$ / acre. How would you go about setting this problem up?

What I did was
1 Acre = 43560 Square Feet
1 Acre = 43560 * $4.95, thus$215,622 per acre
13.88 acres total * $215,622 per acre =$2,992,833.36

is this correct, if so how do I go about checking this (e.g. plugging in numbers), I checked it by saying 13.88 acres = 604612.8 sq ft x $4.95 (per sq ft) =$2,992,833.36. Is this correct, could I have solved by using something fancier like algebra instead of juggling it around like I did?
Yes, you can get it in either of those two ways:
1) Since there are 43560 square feet in an acre, at $4.95 per square foot the land would be 4.95*43560=$215622 per acre.

2) The total price, at $4.95 per square foot, of 604162.8 sq ft is 4.95*604162.8=$2992833.36 which, since that is 13.88 acres, is $2992833.36/13.88=$215622 per acre again.

Each calculation checks the other.