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4 years ago

A square has a perimeter given by the expression 16x+32y. Write an expression for the length of one side of the square.

2 answers:

8 0

A square has 4 equal sides which make up the perimeter.

Therefore the length of one side = (16x + 32y) / 4 = 4x + 8y Answer

AnnZ [28]4 years ago

6 0

A square has 4 sides with equal length.
The perimeter is the sum of the 4 equal lengths.
The perimeter is also 4 times the length of one side.
Each side is 1/4 of the perimeter.

P = 16x + 32y

s = P/4 = (16x + 32y)/4 = 4x + 8y

Answer: 4x + 8y

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3 years ago

If y-3x=9, 7x+y=25, what is the value of x and y?

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$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

$\looparrowright 7x + y = 25 \\ \\ \looparrowright 7x = 25 - y \\ \\ \looparrowright \boxed{x = \frac{25 - y}{7}} \qquad .. \sf eq(2)$

$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

$\text{Now we know the value of x, for getting y we need to put x in eq(1)}$

$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

$\text{Hence, values of x and y are} \: \frak{ \green{4}} \: \text{and} \: \frak{ \green{21}} \: \text{respectively}.$

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