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nevsk [136]
3 years ago
15

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.


The answer is A
Mathematics
2 answers:
harkovskaia [24]3 years ago
6 0

Answer:

The answer is A

Step-by-step explanation:

I just got it right on edg 2020

Gala2k [10]3 years ago
5 0
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>

</span>
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