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The length of a side of $A$
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06 Oct 2025, 15:02
06 Oct 2025, 15:02
Expert Reply
00:00
Question Stats:
21% (00:39) correct
78% (00:48) wrong based on 23 sessions
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Attachment:
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Quantity A |
Quantity B |
The length of \(a\) side of $A$ |
x+4 |
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Re: The length of a side of $A$
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01 Nov 2025, 13:56
01 Nov 2025, 13:56
Expert Reply
We need to set up the equation to calculate the perimeter of the rectangle and then compare it to $\(x+4\)$.
Perimeter of rectangle: $\(2(x+8+x) \Rightarrow 2(2 x +8) \Rightarrow 4 x+16\)$
Since the square has the same perimeter as the rectangle, we know that the perimeter divided by 4 is the length of any side of the square. So the length of a side of square $A$ :
$$
\(\frac{(4 x+16)}{4}=x+4\)
$$
C is the answer
Perimeter of rectangle: $\(2(x+8+x) \Rightarrow 2(2 x +8) \Rightarrow 4 x+16\)$
Since the square has the same perimeter as the rectangle, we know that the perimeter divided by 4 is the length of any side of the square. So the length of a side of square $A$ :
$$
\(\frac{(4 x+16)}{4}=x+4\)
$$
C is the answer
