A square has an area of 25 square meters. What is its perimeter?
a.
5 meters
c.
20 meters
b.
6.25 meters
d.
25 meters
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@beccaboo333
OpenStudy (anonymous):
A.
OpenStudy (anonymous):
o-o
OpenStudy (beccaboo333):
Please explain direct answers
OpenStudy (anonymous):
how is it A
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
is 20
OpenStudy (beccaboo333):
Explain direct answers
OpenStudy (mathstudent55):
The area of a square is the square of the length of a side.
That means the side is the square root of the area.
You know the area is 25 m^2.
Square root of 25 m^2 will give you one side.
4 times one side is the perimeter.
OpenStudy (anonymous):
A square has 4 equal sides. So for side L, the perimeter P = 4L.
But we know L^2= 25 square metres
Therefore L = ±5 metres.
As a negative length has no physical meaning we ignore L = -5
We insert the value of L = 5 in the equation P = 4L, and arrive at P = 20 metres
OpenStudy (anonymous):
So it's 25 @mathstudent55
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@mathstudent55 it will be 20
OpenStudy (mathstudent55):
One step at a time.
A = 25 m^2
\(Side = \sqrt{25~m^2} \)
What is the length of the side?
OpenStudy (anonymous):
5
OpenStudy (anonymous):
umm 5?
OpenStudy (mathstudent55):
Correct, 5 m.
Next step, since a square square has 4 sides of equal length, the perimeter is simply 4 times the length of one side.
\(P = 4s = 4 \times 5 ~m = \)?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
20
OpenStudy (anonymous):
20
OpenStudy (mathstudent55):
Correct, 20 m.
OpenStudy (anonymous):
Thank you so much
OpenStudy (anonymous):
Then? i got it right
Still Need Help?
Join the QuestionCove community and study together with friends!