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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a rectangle with a width of 8in and a length that is two times the width.

Possible Answers:

$48\text{in}$

$36\text{in}$

$64\text{in}$

$16\text{in}$

$24\text{in}$

Correct answer:

$48\text{in}$

Explanation:

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

P = 2l + 2w

Where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 8in. We also know the length is two times the width. Therefore, the length is 16in. So, we can substitute. We get

$P = 2(16\text{in}) + 2(8\text{in})$

$P = 32\text{in} + 16\text{in}$

$P = 48\text{in}$

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Example Question #12 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a square with a length of 8cm.

Possible Answers:

$48\text{cm}$

$24\text{cm}$

$32\text{cm}$

$64\text{cm}$

$16\text{cm}$

Correct answer:

$32\text{cm}$

Explanation:

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

P = 4a

where a is the length of one side of the square. Because a square has 4 equal sides, we can use any side in the formula.

Now, we know the length of the square is 8cm. So, we can substitute. We get

$P = 4 \cdot 8\text{cm}$

$P = 32\text{cm}$

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Example Question #11 : Perimeter And Sides Of Quadrilaterals

The perimeter of a square is 72in. Find the length of one side.

Possible Answers:

$16\text{in}$

$18\text{in}$

$36\text{in}$

$9\text{in}$

$54\text{in}$

Correct answer:

$18\text{in}$

Explanation:

To answer this, we will look at the formula for perimeter of a square. We get

P = 4a

where a is the length of one side of the square. Because a square has 4 equal sides, we can use any side in the formula. To find the length of one side, we will solve for a. Now, we know the perimeter of the square is 72\text{in}. So, we will substitute and solve for a. We get

$72\text{in} = 4a$

$\frac{72\text{in}}{4} = \frac{4a}{4}$

$18\text{in} = a$

$a = 18\text{in}$

Therefore, the length of one side of the square is 18in.

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Example Question #1271 : Ged Math

The area of a square is $25\text{cm}^2$ . Find the perimeter.

Possible Answers:

$20\text{cm}$

$25\text{cm}$

$30\text{cm}$

$\text{There is not enough information to solve the problem.}$

$5\text{cm}$

Correct answer:

$20\text{cm}$

Explanation:

A square has 4 equal sides. To find the perimeter of the square, we first have to find the length of one side of the square.

Now, we know the area of the square. The formula for area of a square is

A = b^2

where b is the length of one side of the square. To find the length of one side, we will solve for b. Now, we know the area is $25\text{cm}^2$ . So, we will substitute and solve for b.

$25\text{cm}^2 = b^2$

$\sqrt{25\text{cm}^2} = \sqrt{b^2}$

$5\text{cm} = b$

$b = 5\text{cm}$

Therefore, the length of one side of the square is 5cm.

Now, to find the perimeter of a square, we will use the following formula:

P = 4b

where b is the length of one side of the square. Now, we know the length of one side of the square is 5cm. So, we can substitute. We get

$P = 4 \cdot 5\text{cm}$

$P = 20\text{cm}$

Therefore, the perimeter of the square is 20cm.

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Example Question #13 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a rectangle with a length of 9in and a width that is a third of the length.

Possible Answers:

$24\text{in}$

$15\text{in}$

$27\text{in}$

$12\text{in}$

$18\text{in}$

Correct answer:

$24\text{in}$

Explanation:

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

P = 2l + 2w

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 9in. We also know the width is a third of the length. Therefore, the width is 3in. So, we can substitute. We get

$P = 2(9\text{in}) + 2(3\text{in})$

$P = 18\text{in} + 6\text{in}$

$P = 24\text{in}$

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Example Question #13 : Perimeter And Sides Of Quadrilaterals

The perimeter of a square is 68in. Find the length of one side.

Possible Answers:

$\text{There is not enough information to solve the problem.}$

$13\text{in}$

$14\text{in}$

$16\text{in}$

$17\text{in}$

Correct answer:

$17\text{in}$

Explanation:

A square has 4 equal sides. To find the perimeter of a square, we will use the following formula:

P = 4a

where a is the length of one side of the square. Because a square has 4 equal sides, we can use any side in the formula. To find the length of one side, we will solve for a.

Now, we know the perimeter of the square is 68in. So, we can substitute and solve for a.

$68\text{in} = 4a$

$\frac{68\text{in}}{4} = \frac{4a}{4}$

$17\text{in} = a$

$a = 17\text{in}$

Therefore, the length of one side of the square is 17in.

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Example Question #21 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a rectangle with a length of 6in and a width that is a third of the length.

Possible Answers:

$9\text{in}$

$16\text{in}$

$12\text{in}$

$24\text{in}$

$18\text{in}$

Correct answer:

$16\text{in}$

Explanation:

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

P = 2l + 2w

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 6in. We also know the width is a third of the length. Therefore, the width is 2in. So, we can substitute. We get

$P = 2(6\text{in}) + 2(2\text{in})$

$P = 12\text{in} + 4\text{in}$

$P = 16\text{in}$

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Example Question #1272 : Ged Math

Use the following rectangle to answer the question:

Rectangle2

Find the perimeter.

Possible Answers:

$16\text{in}$

$21\text{in}$

$55\text{in}$

$27\text{in}$

$32\text{in}$

Correct answer:

$32\text{in}$

Explanation:

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

P = 2l + 2w

where l is the length and w is the width of the rectangle.

Now, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in. So, we can substitute. We get

$P = 2(11\text{in}) + 2(5\text{in})$

$P = 22\text{in} + 10\text{in}$

$P = 32\text{in}$

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Example Question #1273 : Ged Math

Use the following square to answer the question:

Square3

Find the perimeter.

Possible Answers:

$56\text{cm}$

$16\text{cm}$

$64\text{cm}$

$32\text{cm}$

$24\text{cm}$

Correct answer:

$32\text{cm}$

Explanation:

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

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

Now, given the square

Square3

we can see one length of the square is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm. So, we can substitute. We get

$P = 8\text{cm} + 8\text{cm} + 8\text{cm} + 8\text{cm}$

$P = 32\text{cm}$

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Example Question #314 : Geometry And Graphs

Find the perimeter of a square with a length of 11in.

Possible Answers:

$111\text{in}$

$121\text{in}$

$48\text{in}$

$56\text{in}$

$44\text{in}$

Correct answer:

$44\text{in}$

Explanation:

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

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, all sides are 11in. So, we can substitute. We get

$P = 11\text{in} + 11\text{in} + 11\text{in} + 11\text{in}$

$P = 44\text{in}$

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Perimeter And Sides Of Quadrilaterals

Example Question #12 : Perimeter And Sides Of Quadrilaterals

Example Question #11 : Perimeter And Sides Of Quadrilaterals

Example Question #1271 : Ged Math

Example Question #13 : Perimeter And Sides Of Quadrilaterals

Example Question #13 : Perimeter And Sides Of Quadrilaterals

Example Question #21 : Perimeter And Sides Of Quadrilaterals

Example Question #1272 : Ged Math

Example Question #1273 : Ged Math

Example Question #314 : Geometry And Graphs

All GED Math Resources

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