HSPT Math : How to find the perimeter of a figure

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #581 : Measurement & Data

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.49.47 am

 

Possible Answers:

\(\displaystyle 61cm\)

\(\displaystyle 63cm\)

\(\displaystyle 60cm\)

\(\displaystyle 64cm\)

\(\displaystyle 62cm\)

Correct answer:

\(\displaystyle 60cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 10\times6=60\)

\(\displaystyle 10+10+10+10+10+10=60\)

Example Question #92 : How To Find The Perimeter Of A Figure

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.51.08 am

 

Possible Answers:

\(\displaystyle 36cm\)

\(\displaystyle 35cm\)

\(\displaystyle 34cm\)

\(\displaystyle 32cm\)

\(\displaystyle 33cm\)

Correct answer:

\(\displaystyle 36cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 6\times6=36\)

\(\displaystyle 6+6+6+6+6+6=36\)

Example Question #93 : How To Find The Perimeter Of A Figure

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.49.27 am

 

Possible Answers:

\(\displaystyle 49cm\)

\(\displaystyle 50cm\)

\(\displaystyle 48cm\)

\(\displaystyle 47cm\)

\(\displaystyle 51cm\)

Correct answer:

\(\displaystyle 48cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 8\times6=48\)

\(\displaystyle 8+8+8+8+8+8=48\)

Example Question #92 : How To Find The Perimeter Of A Figure

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.50.51 am

 

Possible Answers:

\(\displaystyle 29cm\)

\(\displaystyle 27cm\)

\(\displaystyle 28cm\)

\(\displaystyle 30cm\)

\(\displaystyle 31cm\)

Correct answer:

\(\displaystyle 30cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 5\times6=30\)

\(\displaystyle 5+5+5+5+5+5=30\)

Example Question #141 : Geometry

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.49.19 am

 

Possible Answers:

\(\displaystyle 26cm\)

\(\displaystyle 22cm\)

\(\displaystyle 25cm\)

\(\displaystyle 24cm\)

\(\displaystyle 23cm\)

Correct answer:

\(\displaystyle 24cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 4\times6=24\)

\(\displaystyle 4+4+4+4+4+4=24\)

Example Question #341 : Problem Solving

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.50.43 am

 

Possible Answers:

\(\displaystyle 22cm\)

\(\displaystyle 18cm\)

\(\displaystyle 20cm\)

\(\displaystyle 21cm\)

\(\displaystyle 19cm\)

Correct answer:

\(\displaystyle 18cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 3\times6=18\)

\(\displaystyle 3+3+3+3+3+3=18\)

Example Question #1951 : Common Core Math: Grade 3

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 11.48.59 am

 

Possible Answers:

\(\displaystyle 9cm\)

\(\displaystyle 11cm\)

\(\displaystyle 8cm\)

\(\displaystyle 10cm\)

\(\displaystyle 12cm\)

Correct answer:

\(\displaystyle 12cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 2\times6=12\)

\(\displaystyle 2+2+2+2+2+2=12\)

Example Question #98 : How To Find The Perimeter Of A Figure

What is the perimeter of the regular hexagon below? 

Screen shot 2015 11 09 at 12.24.12 pm

 

Possible Answers:

\(\displaystyle 50cm\)

\(\displaystyle 54cm\)

\(\displaystyle 52cm\)

\(\displaystyle 53cm\)

\(\displaystyle 51cm\)

Correct answer:

\(\displaystyle 54cm\)

Explanation:

A regular hexagon has six equal sides. To find the perimeter of a hexagon, we can multiply the known side length by \(\displaystyle 6\) (since there are six sides) or we can add the known side length to itself six times. 

\(\displaystyle 9\times6=54\)

\(\displaystyle 9+9+9+9+9+9=54\)

Example Question #142 : Geometry

What is the perimeter of a circle with the diameter of 10?

Possible Answers:

\(\displaystyle 31.4\)

\(\displaystyle 60\)

\(\displaystyle 13\)

\(\displaystyle 30\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 31.4\)

Explanation:

The perimeter of a circle or circumference is found by using the formula, 

\(\displaystyle c=2\pi r\) 

which also equals 

\(\displaystyle c=d\pi\) 

Identify the given information.

\(\displaystyle \\\textup{diameter}=10 \\ \pi=3.14\)

Substituting the given information into the formula results in the final solution.

\(\displaystyle c=d\pi\)

\(\displaystyle c=10\times 3.14\)

\(\displaystyle c=31.4\)

Example Question #91 : How To Find The Perimeter Of A Figure

If the perimeter of a rectangle is 40, and the width of the rectangle is 8, what is the length of the rectangle?

Possible Answers:

\dpi{100} 10\(\displaystyle \dpi{100} 10\)

\dpi{100} 5\(\displaystyle \dpi{100} 5\)

\dpi{100} 12\(\displaystyle \dpi{100} 12\)

\dpi{100} 4\(\displaystyle \dpi{100} 4\)

Correct answer:

\dpi{100} 12\(\displaystyle \dpi{100} 12\)

Explanation:

The formula for the perimeter of a rectangle is \dpi{100} P=2l+2w\(\displaystyle \dpi{100} P=2l+2w\), where \dpi{100} l\(\displaystyle \dpi{100} l\) is the length of the rectangle and \dpi{100} w\(\displaystyle \dpi{100} w\) is the width.

Plug in the numbers that we are given into the equation.

\dpi{100} 40=2l +2(8)\(\displaystyle \dpi{100} 40=2l +2(8)\)

\dpi{100} 40=2l +16\(\displaystyle \dpi{100} 40=2l +16\)

\dpi{100} 40-16=2l +16-16\(\displaystyle \dpi{100} 40-16=2l +16-16\)

\dpi{100} 24=2l\(\displaystyle \dpi{100} 24=2l\)

\dpi{100} \frac{24}{2}=\frac{2l}{2}\(\displaystyle \dpi{100} \frac{24}{2}=\frac{2l}{2}\)

\dpi{100} l=12\(\displaystyle \dpi{100} l=12\)

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