Question

Rahul, a developer is creating a pan for a park which is of 44 acres. It includes a 4-acre lake which cannot be developed. He later realizes that 8 to 10 acres, inclusive, needs to be reserved for soccer fields. Determine the inequality which correctly shows the amount of land ($p$)within the park that is available for development.

• A. $26\le p\le 40$
• B. $30\le p\le 32$
• C. $34\le p\le 36$
• D. $36\le p\le 40$

Answer 1

Answer: (B)

$30\le p\le 32$

Given, the total land for a park $=44$ acres

Lake area $=4$ acres

Hence, available land for park development $p=44-4=40$ acres

Land to be reserved for soccer fields $=8$ to $10$ acres.

Therefore, available land after removing soccer fields land $p$ = $40-8$ to $40-10$ i.e.,

$40-10\le p\le 40-8$

$⟹30\le p\le 32$