Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and
require an area of 2,025 ft2. Two individual adjacent enclosures would be rectangular, with dimensions 20 ft by 40 ft with a 40 ft divider between the two enclosures. Which statement explains the design Maria should choose to minimize her costs?
a The singular enclosure would minimize cost because it requires 180 feet of fencing.
b The singular enclosure would minimize cost because it has the smallest area.
c The two individual enclosures would minimize cost because they require 200 feet of fencing.
d The two individual enclosures would minimize cost because they have the largest area.
Step 1 find the perimeter of a <span>single enclosure perimeter of a square=4*b where b is the long side of a square area square=b</span>² area square=2025 ft² b²=2025-------> b=√2025-----> b=45 ft <span>so perimeter=4*45-------> 180 ft
step 2 </span>find the perimeter of a two individual enclosure <span>perimeter=4*20+3*40------> 200 ft area=20*40*2------> 1600 ft</span>² <span> therefore fencing singular enclosure < fencing two individual enclosure 180 ft < 200 ft
</span>area singular enclosure > area two individual enclosure 2025 ft² > 1600 ft²<span>
the answer is the option </span><span>a The singular enclosure would minimize cost because it requires 180 feet of fencing.</span><span>
