The answer is: "10 cm" .
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Method 1)
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2L + 2w = 40 ; Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:
P = 2L + 2w ; Note: L = length; w = width; P = perimeter;
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Factor out a "2":
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" 2L + 2w = 40" ;
2 (L+ w) = 40;
Divide each side of the question by "2" ;
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[2 (L + w)] / 2 = 40 / 2 ;
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to get: (L + w) = 20 ;
Note: this "rectangle is a square" ; so L= w".
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20 /2 = 10 ;
L + w = 10 + 10 = 20.
This is a square, so each side of the square is the same length.
Each side is: 10 cm .
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Method 2)
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We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm." Since a square has 4 sides of equal length:
Each side is: 40 cm / 4 = 10 cm.
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STEP
1
:
y
Simplify —
3
Equation at the end of step
1
:
y
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((((24•(x6))•—)•x)•y)
3
STEP
2
:
Equation at the end of step
2
:
y
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((((23•3x6)•—)•x)•y)
3
STEP
3
:
Canceling Out:
3.1 Canceling out 3 as it appears on both sides of the fraction line
Equation at the end of step
3
:
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((8x6y•x)•y)
STEP
4
:
Equation at the end of step
4
:
(((18•(x5))•(y3))+((2•3x2)•y4))+8x7y2
STEP
5
:
Equation at the end of step
5
:
(((2•32x5) • y3) + (2•3x2y4)) + 8x7y2
STEP
6
:
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
8x7y2 + 18x5y3 + 6x2y4 = 2x2y2 • (4x5 + 9x3y + 3y2)
Trying to factor a multi variable polynomial :
7.2 Factoring 4x5 + 9x3y + 3y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
2x2y2 • (4x5 + 9x3y + 3y2)
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124 degrees warmer
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1.0754 times 10^8
Step-by-step explanation: