GED Math : Squares, Rectangles, and Parallelograms

Study concepts, example questions & explanations for GED Math

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Example Questions

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:

Correct answer:

Explanation:

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

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

Example Question #22 : Perimeter And Sides Of Quadrilaterals

Use the following rectangle to answer the question:

Rectangle2

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #23 : Perimeter And Sides Of Quadrilaterals

Use the following square to answer the question:

Square3

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #24 : Perimeter And Sides Of Quadrilaterals

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

Possible Answers:

Correct answer:

Explanation:

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

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

Example Question #25 : Perimeter And Sides Of Quadrilaterals

Use the following rectangle to answer the question:

Rectangle4

Find the perimeter. 

Possible Answers:

Correct answer:

Explanation:

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

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

Now, given the rectangle

Rectangle4

we can see the length is 9cm and the width is 7cm. So, we can substitute. We get

Example Question #311 : 2 Dimensional Geometry

Find the perimeter of a rectangle with a width of 7in and a length that is two times the width.

Possible Answers:

Correct answer:

Explanation:

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

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

Now, we know the width of the rectangle is 7in. We know the length is two times the width. Therefore, the length is 14in. So, we can substitute. We get

Example Question #27 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a rectangle with a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

There are two congruent lengths and two congruent widths in a rectangle.

The perimeter is the sum of all length and width.

The answer is:  

Example Question #28 : Perimeter And Sides Of Quadrilaterals

Find the perimeter of a square if the area is 60.

Possible Answers:

Correct answer:

Explanation:

Write the formula for the area of a square.

Substitute the area into the equation.

Square root both sides.

Simplify both sides and factor the radical by using factors of perfect squares.

Multiply the side by four since the square has 4 congruent sides.

The answer is:  

Example Question #21 : Squares, Rectangles, And Parallelograms

If the side of a square has a length of , what must the perimeter be?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a square is four times the length since, all four sides are congruent.

The answer is:  

Example Question #22 : Perimeter And Sides Of Quadrilaterals

A rectangle has a diagonal of  and a side length of . What is the perimeter of the rectangle? 

Possible Answers:

Correct answer:

Explanation:

1

Notice that the question gives us the hypotenuse of a right triangle that has two sides of the rectangle as legs.

Use the Pythagorean Theorem to find the missing side of the rectangle.

Now, add together the sides to find the perimeter of the rectangle.

Make sure to round to two places after the decimal.

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