Rashad is considering two designs for a garden. In Design 1 he would use fencing to surround a square plot of land that has an a
rea of 1,296 square feet. In Design 2 he would divide a plot of land into two rectangular sections, each 15 feet by 36 feet, and surround the plot with fencing, as well as place fencing along the dividing line of the two sections.
Which plan would cost less in fencing? Explain.
A. Design 1, because it requires 12 fewer feet of fencing than Design 2
B. Design 1, because it requires 24 fewer feet of fencing than Design 2
C. Design 2, because it requires 12 fewer feet of fencing than Design 1
D. Design 2, because it requires 24 fewer feet of fencing than Design 1
The ANSWER IS B all of the answer i found online were wrong when I was doing the quiz ...being a helping hand
Which plan would cost less in fencing? Explain.
A. Design 1, because it requires 12 fewer feet of fencing than Design 2
B. Design 1, because it requires 24 fewer feet of fencing than Design 2
C. Design 2, because it requires 12 fewer feet of fencing than Design 1
D. Design 2, because it requires 24 fewer feet of fencing than Design 1
The ANSWER IS B all of the answer i found online were wrong when I was doing the quiz ...being a helping hand
1 answer:
It is known that
refer to the attached diagram for clarity on this issue
design 1
For a square, the perimeter equals 4*b
where
b denotes the side length
The area of a square is given by b²
For this case, we have area=1296 ft²
Hence
1296=b²
Solving for b gives b=√1296—> b=36 ft
The perimeter for design 1 would consequently be (4*b)—> 4*36-----> 144 ft
For design 2
the perimeter calculates as 15*4+36*3----> 168 ft
Thus, design 1 needs 144 ft of fencing
while design 2 requires 168 ft of fencing
This implies that design 2 is greater than design 1
The difference is design 2 minus design 1=168 ft-144 ft------> 24 ft
Therefore
the answer is option
<span>B. Design 1, as it requires 24 feet less fencing than Design 2</span>
refer to the attached diagram for clarity on this issue
design 1
For a square, the perimeter equals 4*b
where
b denotes the side length
The area of a square is given by b²
For this case, we have area=1296 ft²
Hence
1296=b²
Solving for b gives b=√1296—> b=36 ft
The perimeter for design 1 would consequently be (4*b)—> 4*36-----> 144 ft
For design 2
the perimeter calculates as 15*4+36*3----> 168 ft
Thus, design 1 needs 144 ft of fencing
while design 2 requires 168 ft of fencing
This implies that design 2 is greater than design 1
The difference is design 2 minus design 1=168 ft-144 ft------> 24 ft
Therefore
the answer is option
<span>B. Design 1, as it requires 24 feet less fencing than Design 2</span>
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