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$Polygon H is a scaled copy of Polygon G using a scale factor of (1)/(4). Polygon H 's area is what fraction of Polygon G^(') 's area?$

Polygon $H$ is a scaled copy of Polygon $G$ using a scale factor of $\frac{1}{4}$ . $\newline$ Polygon $H$ 's area is what fraction of Polygon $G^{\prime}$ 's area?

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Scale drawings: word problems

Full solution

Q. Polygon

H

is a scaled copy of Polygon

G

using a scale factor of

\frac{1}{4}

.

\newline

Polygon

H

's area is what fraction of Polygon

G^{\prime}

's area?

Linear Scale Factor Calculation: We know that when a figure is scaled by a factor of $k$ , the area of the figure is scaled by a factor of $k^2$ . In this case, the scale factor is $\frac{1}{4}$ .
Area Scale Factor Calculation: To find the area scale factor, we square the linear scale factor. So, we calculate $(\frac{1}{4})^2$ .
Area Comparison: Performing the calculation, we get $(1/4)^2 = 1/16$ . This means that the area of Polygon $H$ is $1/16$ the area of Polygon $G$ .

More problems from Scale drawings: word problems

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90 \%

of what she walked the day before.

\newline

What is the total distance Rosie has traveled by the end of the

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\newline

Round your final answer to the nearest kilometer.

\newline

\mathrm{km}

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Question

A monkey is swinging from a tree. On the first swing, she passes through an arc of

10 \mathrm{~m}

. With each swing, she passes through an arc

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What is the total distance the monkey has traveled when she completes her

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Question

S E=\frac{\sigma}{\sqrt{n}}

\newline

The given equation relates the standard error,

S E

, of a sample mean to the population standard deviation,

\sigma

, and the size of the sample,

n

. Which of the following equations correctly gives the size of the sample in terms of the standard error and the population standard deviation?

\newline

1

\newline

n=\left(\frac{\sigma}{S E}\right)^{2}

\newline

n=\frac{\sigma^{2}}{S E}

\newline

n=\sqrt{\left(\frac{\sigma}{S E}\right)}

\newline

n=\frac{\sqrt{\sigma}}{S E}

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Question

Avery is designing a large rectangular sign. They want the sign to have an area of

2 \mathrm{~m}^{2}

\frac{4}{5} \mathrm{~m}

\newline

How tall should the sign be?

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Question

The bacteria in a Petri dish culture are self-duplicating at a rapid pace.

\newline

The relationship between the elapsed time

t

, in minutes, and the number of bacteria,

B(t)

, in the Petri dish is modeled by the following function.

\newline

B(t)=10 \cdot 2^{\frac{t}{12}}

\newline

How many bacteria will make up the culture after

120

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

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Question

A large brine tank containing a solution of salt and water is being diluted with fresh water.

\newline

The relationship between the elapsed time,

t

, in hours, after the dilution begins, and the concentration of salt in the tank,

S(t)

, in grams per liter

(\mathrm{g} / \mathrm{l})

, is modeled by the following function.

\newline

S(t)=500 \cdot e^{-0.25 t}

\newline

What will the concentration of salt be after

10

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Round your answer, if necessary, to the nearest hundredth.

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Question

After the closing of the mill, the town of Sawyerville experienced a decline in its population.

\newline

The relationship between the elapsed time,

t

, in years, since the closing of the mill, and the town's population,

P(t)

, is modeled by the following function.

\newline

P(t)=12,000 \cdot 2^{-\frac{t}{15}}

\newline

In how many years will Sawyerville's population be

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Question

Carlos has taken an initial dose of a prescription medication.

\newline

The relationship between the elapsed time

t

, in hours, since he took the first dose, and the amount of medication,

M(t)

, in milligrams (

\mathrm{mg}

), in his bloodstream is modeled by the following function.

\newline

M(t)=20 \cdot e^{-0.8 t}

\newline

In how many hours will Carlos have

1 \mathrm{mg}

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\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

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Question

To take a taxi, it costs

\$ 3.00

plus an additional

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per mile traveled. You spent exactly

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on a taxi, which includes the

\$ 1

\newline

How many miles did you travel?

\newline

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Question

Y

is a scaled copy of Polygon

X

using a scale factor of

\frac{1}{3}

\newline

Y^{\prime}

's area is what fraction of Polygon

X

Posted 9 months ago

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