. The area of a square is numerically equal to five times its perimeter. Find
the length of a side of the square
Answers
the length is equal to 20
A= S²
A= 20²
A= 400
P= 4S
P= 4(20)
P= 80
A= P × 5
A= 80×5
A= 400
Answer:
The length of a side of the square is 20 units.
Step-by-step explanation:
We can use algebra to solve this problem. Let's call the length of a side of the square "s".
We know that the area of a square is equal to s² and the perimeter of a square is equal to 4s.
From the problem statement, we know that:
s² = 5(4s)
We can simplify this equation by multiplying 4s:
s² = 20s
Now we can divide both sides of the equation by s:
s = 20
Hence, the length of a side of the square is 20 units.
- A square is a two-dimensional geometric shape with four equal sides and four right angles. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length, which is the distance from one corner of the square to the opposite corner along a side.
- A square can also be defined by its perimeter, which is the sum of the lengths of all its sides. The perimeter of a square is equal to four times the length of a side.
- A square can also be defined by its area, which is the amount of space inside the square. The area of a square is equal to the length of a side squared (s²).
To learn more about the algebra, click on the link below:
https://brainly.in/question/26500
To learn more about the perimeter and area, click on the link below:
https://brainly.in/question/54129409
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