GED Math : Perimeter and Sides

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #401 :Geometry And Graphs

A hexagon has a perimeter of 138cm. Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

六角6等于边。这个公式perimeter of a hexagon is

whereais the length of any side. To find the length of one side, we solve fora.

Now, we know the perimeter of the hexagon is 138cm. So, we can substitute and solve fora. We get

Therefore, the length of one side of the hexagon is 23cm.

Example Question #402 :Geometry And Graphs

A hexagon has a perimeter of 126in. Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

六角6等于边。这个公式perimeter of a hexagon is:

whereais the length of any side. Now, to find the length of one side, we will solve fora.

我们知道the perimeter of the hexagon is 126in. So, we will substitute and solve fora. We get

Therefore, the length of one side of the hexagon is 21in.

Example Question #11 :Other Shapes

A hexagon has a perimeter of 198cm. Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

六角6等于边。这个公式perimeter of a hexagon is

whereais the length of any side. To find the length of one side, we solve fora.

Now, we know the perimeter of the hexagon is 198cm. So, we can substitute and solve fora. We get

Therefore, the length of one side of the hexagon is 33cm.

Example Question #404 :Geometry And Graphs

Thingy

Figure NOT drawn to scale.

Refer to the above figure. Every angle shown is a right angle.

Give its perimeter.

Possible Answers:

Correct answer:

Explanation:

Examine the bottom figure, in which the bottom two sides have been connected. Note that the figure is now a rectangle cut out of a rectangle, and, since the opposite sides of a rectangle have the same length, we can fill in some of the side lengths as shown:

Thingy

Three of the sides are of unknown length, but it is not necessary to know the values. Since opposite sides of a rectangle are of the same length, it can be deduced that

.

图的周长等于的总和the lengths of its sides, which is

Substituting 100 for:

Example Question #11 :Perimeter And Sides

What is the perimeter of a semicircle with a radius of 4?

Possible Answers:

Correct answer:

Explanation:

The semicircle perimeter will include half the circumference of a regular circle as well as the diameter.

Given the radius, we can first determine the circumference of the half circle.

The diameter is double the radius, or.

Sum the circumference and the diameter to get the perimeter.

The answer is:

Example Question #406 :Geometry And Graphs

Find the perimeter of a hexagon with a side of length 9cm.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a hexagon, we will use the following formula:

whereais any side of the hexagon. Because a hexagon has 6 equal sides, we can use any of them in the formula.

Now, we know the hexagon has a side of 9cm. So, we can substitute. We get

Example Question #407 :Geometry And Graphs

Find the perimeter of a pentagon with a side of length 8in.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a pentagon, we will use the following formula:

whereais the length of any side of the pentagon. Because a pentagon has 5 equal sides, we can use any of those sides in the formula.

Now, we know the pentagon has a side of 8in. So, we can substitute. We get

Example Question #408 :Geometry And Graphs

Joe has a rectangular backyard. Its dimensions areby. If he wants to put up fencing around the perimeter, how much fencing will he need?

Possible Answers:

feet

feet

feet

feet

feet

Correct answer:

feet

Explanation:

This problem is asking us to solve for how much fencing Joe requires to fence his backyard. In order to solve for this, we must find the perimeter of the backyard. The perimeter is a sum of the sides of a shape - or in this case, Joe's backyard. This makes sense to use, because fences usually line the outside - or the perimeter - of a backyard.

Perimeter is solved for through, where l is length and w is width. Although this problem does not explicitly state which value corresponds to width or length, it doesn't matter in this problem as both value will be multiplied by

Example Question #411 :Geometry And Graphs

What is the perimeter of a square with a length ofinches?

Possible Answers:

inches

inches

Not enough information

inches

inches

Correct answer:

inches

Explanation:

This problem asks for us to solve for the perimeter of a square that has a length ofinches. The perimeter can be solved for using, where w means width and l means length.

In this kind of problem, it's important to remember that squares have 4 equal sides. This means that their lengths equal the width - therefore, it can be misleading to think there isn't enough information.

Therefore, the square has a perimeter ofinches.

Example Question #412 :Geometry And Graphs

Jill would like to create a small pen for her fostered kittens. She plans on making an equilateral triangular shaped pen with onlyfeet of fencing at her disposal. What is the greatest whole number side length the pen can have?

Possible Answers:

Correct answer:

Explanation:

The problem states that Jill wants to make a pen in the shape of an equilateral triangle. This means the triangle will have three equal sides. With onlyfeet of fencing, she wishes to make the largest triangle possible. In order to solve for the longest possible whole number length of the triangle pen, we must first utilize some concepts associated with perimeter.

Perimeter is the sum of all sides. This means that withfeet of fencing, the sum of the three sidescannotexceedfeet. Using this information, we can solve for the maximal side length:

if we set up an equation where all three sides are summed, we can set it equal to, keeping in mind that this is the limit. But we must also keep in mind that s cannot be a decimal number - it must be a whole number.

Because we are restrained byfeet, we must round the value for s down. This would entail that the side of the pen can befeet maximum.

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