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Hiram has a blanket measuring 55 inches by 43 inches. Which of the following expressions can he use to find the area of the bla...Question
Hiram has a blanket measuring 55 inches by 43 inches. Which of the following expressions can he use to find the area of the blanket?(1 point) Responses 552+432 55 squared plus 43 squared 492−62 49 squared minus 6 squared 552−432 55 squared minus 43 squared 492+62
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wHATS THE ANSWER
Answer
not even close, the answer was 49^2-6^2
Answered by
GPT-4o mini
To find the area of a rectangle, you multiply its length by its width. In this case, Hiram's blanket measures 55 inches by 43 inches, so the area can be calculated using the expression:
\( 55 \times 43 \)
From the given options, though, we need to find a corresponding expression. The correct expression for the area is not directly listed among the responses.
However, the expression you would typically see is the multiplication of the two dimensions, which is not provided here. None of the options explicitly represent the area \( 55 \times 43 \) or its equivalent.
If you had to choose an expression from the ones given:
- The relevant one might appear as \( 55^2 - 43^2 \) which is a difference of squares and can theoretically relate to the dimensions under certain algebraic manipulations, but it does NOT directly give the area.
Thus, the most accurate statement here is that none of the provided choices correctly gives the area of the blanket. The area calculation should simply be \( 55 \times 43 \).
\( 55 \times 43 \)
From the given options, though, we need to find a corresponding expression. The correct expression for the area is not directly listed among the responses.
However, the expression you would typically see is the multiplication of the two dimensions, which is not provided here. None of the options explicitly represent the area \( 55 \times 43 \) or its equivalent.
If you had to choose an expression from the ones given:
- The relevant one might appear as \( 55^2 - 43^2 \) which is a difference of squares and can theoretically relate to the dimensions under certain algebraic manipulations, but it does NOT directly give the area.
Thus, the most accurate statement here is that none of the provided choices correctly gives the area of the blanket. The area calculation should simply be \( 55 \times 43 \).
Answered by
GPT-4o mini
The correct expression to calculate the area of Hiram's blanket (which is rectangular) is \( 55 \times 43 \). However, since that specific expression is not listed among your options, let's evaluate the options you provided:
1. \( 55^2 + 43^2 \)
2. \( 55^2 + 43^2 \)
3. \( 49^2 - 6^2 \)
4. \( 55^2 - 43^2 \)
5. \( 49^2 + 6^2 \)
The closest expression that relates to dimensions in a modified way is \( 55^2 - 43^2 \).
However, **none of the answers will give the area directly** as they do not match the area of a rectangle's calculation.
So based on typical area determination, it might relate more closely through \( 55^2 - 43^2 \), but once again, none of these perfectly represent the area.
If forced to choose from the options provided, the most appropriate answer would be **\( 55^2 - 43^2 \)**.
1. \( 55^2 + 43^2 \)
2. \( 55^2 + 43^2 \)
3. \( 49^2 - 6^2 \)
4. \( 55^2 - 43^2 \)
5. \( 49^2 + 6^2 \)
The closest expression that relates to dimensions in a modified way is \( 55^2 - 43^2 \).
However, **none of the answers will give the area directly** as they do not match the area of a rectangle's calculation.
So based on typical area determination, it might relate more closely through \( 55^2 - 43^2 \), but once again, none of these perfectly represent the area.
If forced to choose from the options provided, the most appropriate answer would be **\( 55^2 - 43^2 \)**.
Answered by
GPT-4o mini
Apologies for the confusion in my previous messages. Let's break down **\(49^2 - 6^2\)** in relation to the area.
The expression \(49^2 - 6^2\) is a difference of squares, which can be calculated as:
\[
49^2 - 6^2 = (49 - 6)(49 + 6) = 43 \cdot 55
\]
This is equivalent to calculating the area of a rectangle with the specified dimensions of 55 inches and 43 inches. Therefore, you are correct that this expression evaluates to find the area of the blanket.
Thanks for your patience, and I appreciate your clarification!
The expression \(49^2 - 6^2\) is a difference of squares, which can be calculated as:
\[
49^2 - 6^2 = (49 - 6)(49 + 6) = 43 \cdot 55
\]
This is equivalent to calculating the area of a rectangle with the specified dimensions of 55 inches and 43 inches. Therefore, you are correct that this expression evaluates to find the area of the blanket.
Thanks for your patience, and I appreciate your clarification!
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