Question

page 10

using the given measurement, find the area and perimeter of each figure.

1.
area = ____ perimeter = ____

2.
area = ____ perimeter = ____

1. greg wants to buy a kayak at academy sporting goods. it is $450. what will the total cost be if the tax rate is 9%?

1. 42 out of the 60 seventh graders went to the beach over the summer. what percent of the seventh graders went to the beach over the summer?

Explanation:

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"new_concepts": [
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"Sales Tax",
"Percent of Quantity"
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"current_concepts": [
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"Sales Tax",
"Percent of Quantity"
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}
</pre_analysis>

<reasoning>

Calculate area and perimeter of the first rectangle

\[

$$\begin{aligned} &\text{Area} = 5.4 \times 4.9 = 26.46\text{ m}^2\\ &\text{Perimeter} = 2 \times (5.4 + 4.9) = 20.6\text{ m} \end{aligned}$$

\]

Calculate area and perimeter of the second square

\[

$$\begin{aligned} &\text{Area} = 5.2 \times 5.2 = 27.04\text{ m}^2\\ &\text{Perimeter} = 4 \times 5.2 = 20.8\text{ m} \end{aligned}$$

\]

Calculate the total cost of the kayak including tax

\[

$$\begin{aligned} &\text{Tax} = 450 \times 0.09 = 40.50\\ &\text{Total Cost} = 450 + 40.50 = 490.50 \end{aligned}$$

\]

Calculate the percentage of seventh graders who went to the beach

\[
\text{Percent} = \frac{42}{60} \times 100\% = 0.7 \times 100\% = 70\%
\]
</reasoning>

<answer>

Question 1

Area = \(26.46\text{ m}^2\)
Perimeter = \(20.6\text{ m}\)

Question 2

Area = \(27.04\text{ m}^2\)
Perimeter = \(20.8\text{ m}\)

Question 3

Total Cost = \(\$490.50\)

Question 4

Percentage = \(70\%\)
</answer>

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"question_type": "Multi-part",
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"Area and Perimeter"
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Answer:

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"new_concepts": [
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"Sales Tax",
"Percent of Quantity"
],
"current_concepts": [
"Area and Perimeter",
"Sales Tax",
"Percent of Quantity"
]
}
</pre_analysis>

<reasoning>

Calculate area and perimeter of the first rectangle

\[

$$\begin{aligned} &\text{Area} = 5.4 \times 4.9 = 26.46\text{ m}^2\\ &\text{Perimeter} = 2 \times (5.4 + 4.9) = 20.6\text{ m} \end{aligned}$$

\]

Calculate area and perimeter of the second square

\[

$$\begin{aligned} &\text{Area} = 5.2 \times 5.2 = 27.04\text{ m}^2\\ &\text{Perimeter} = 4 \times 5.2 = 20.8\text{ m} \end{aligned}$$

\]

Calculate the total cost of the kayak including tax

\[

$$\begin{aligned} &\text{Tax} = 450 \times 0.09 = 40.50\\ &\text{Total Cost} = 450 + 40.50 = 490.50 \end{aligned}$$

\]

Calculate the percentage of seventh graders who went to the beach

\[
\text{Percent} = \frac{42}{60} \times 100\% = 0.7 \times 100\% = 70\%
\]
</reasoning>

<answer>

Question 1

Area = \(26.46\text{ m}^2\)
Perimeter = \(20.6\text{ m}\)

Question 2

Area = \(27.04\text{ m}^2\)
Perimeter = \(20.8\text{ m}\)

Question 3

Total Cost = \(\$490.50\)

Question 4

Percentage = \(70\%\)
</answer>

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