Question

A broker has a problem of subdividing a 10 acre tract into 50 by 100 foot lots; after allowing 85,600 square feet for the necessary streets, how many lots will the broker realize from this subdivision?

Answer 1

Answer: There are 944 lots the broker will realize from this subdivision.

Step-by-step explanation:

Since we have given that

For 10 acre tract,

Number of lots = 50 by 100 foot = 5000

If the tract has 85600 square feet, we need to find the number of lots.

Since 1 acre = 43560 square feet

so, 10 acres = $45360\times 10=453600$ square feet

Since there is direct variation, so it becomes,

$\dfrac{453600}{5000}=\dfrac{85600}{x}\\\\90.72=\dfrac{85600}{x}\\\\x=\dfrac{85600}{90.72}\\\\x=943.56\\\\x\approx 944$

Hence, there are 944 lots the broker will realize from this subdivision.