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 492−62 49 squared minus 6 squared 552−432 55 squared minus 43 squared 492+62 49 squared plus 6 squared 552+432
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Answered by
GPT-4o mini
To find the area of a blanket that measures 55 inches by 43 inches, you can use the formula for the area of a rectangle, which is:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
In this case, the Length is 55 inches and the Width is 43 inches. Therefore, we can write the expression as:
\[
\text{Area} = 55 \times 43
\]
However, none of the provided options directly corresponds to this expression. Let's analyze the options given:
1. **492 - 62** - incorrect
2. **55² - 43²** - could be simplified but not the area; this represents the difference of squares.
3. **49² + 62** - incorrect
4. **55² + 43²** - represents the sum of the squares and not the area.
The expression that ultimately reflects the area most closely in a related context is **55² - 43²**, as it can be manipulated using the difference of squares formula, which is not quite the area but relevant in equations.
Thus, if none of the options directly calculates the area of the rectangle, **"55² - 43²"** is relevant for some cases but does not yield the area directly. The direct area calculation isn't listed among the choices. However, if we must pick from the options, select **"55² - 43²,"** though it's more about the relationship and not the area itself.
To clarify: **55 x 43** is the direct answer for the area, which isn't explicitly mentioned.
\[
\text{Area} = \text{Length} \times \text{Width}
\]
In this case, the Length is 55 inches and the Width is 43 inches. Therefore, we can write the expression as:
\[
\text{Area} = 55 \times 43
\]
However, none of the provided options directly corresponds to this expression. Let's analyze the options given:
1. **492 - 62** - incorrect
2. **55² - 43²** - could be simplified but not the area; this represents the difference of squares.
3. **49² + 62** - incorrect
4. **55² + 43²** - represents the sum of the squares and not the area.
The expression that ultimately reflects the area most closely in a related context is **55² - 43²**, as it can be manipulated using the difference of squares formula, which is not quite the area but relevant in equations.
Thus, if none of the options directly calculates the area of the rectangle, **"55² - 43²"** is relevant for some cases but does not yield the area directly. The direct area calculation isn't listed among the choices. However, if we must pick from the options, select **"55² - 43²,"** though it's more about the relationship and not the area itself.
To clarify: **55 x 43** is the direct answer for the area, which isn't explicitly mentioned.
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