GED Math : Squares, Rectangles, and Parallelograms

Study concepts, example questions & explanations for GED Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1287 : Ged Math

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 #1288 : Ged Math

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 side is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm. So, we substitute. We get

Example Question #1289 : Ged Math

Find the perimeter of a rectangle with a length of 12in 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 12in. We know the width of the rectangle is a third of the length. Therefore, the width is 4in. So, we can substitute. We get

Example Question #1290 : Ged Math

Find the perimeter of a square with a width of 12in.

Possible Answers:

Correct answer:

Explanation:

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

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

Now, we know the square has a width of 12in. So, we can substitute. We get

Example Question #31 : Squares, Rectangles, And Parallelograms

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

Possible Answers:

Correct answer:

Explanation:

The square has four congruent sides.

Multiply the side length by four.

The answer is:  

Example Question #32 : Squares, Rectangles, And Parallelograms

What is the perimeter of a square if the side length is ?

Possible Answers:

Correct answer:

Explanation:

A square has four congruent sides.

Multiply the quantity by four.

The answer is:  

Example Question #31 : Perimeter And Sides Of Quadrilaterals

Rectangle 1

The above rectangle has area one square foot. Give its height.

Possible Answers:

Correct answer:

Explanation:

One square foot is equal to 144 square inches. The area of a rectangle is equal to its length times its height:

.

Set , and solve for :

Divide both sides by 16 to solve for :

The height of the rectangle is 9 inches.

Example Question #34 : Perimeter And Sides Of Quadrilaterals

The ratio of the length of a rectangle to its width is 6 to 5. The perimeter of the rectangle is 99. Give its length.

Possible Answers:

Correct answer:

Explanation:

The ratio of the length of a rectangle to its width is 6 to 5, so if we let be the length and be the width, the proportion statement for these dimensions is

Multiply both sides by ; this can be restated as

The perimeter of the rectangle is equal to

Set this equal to 99 and set :

Simplify:

Collect like terms by adding coefficients:

Reduce:

Multiply both sides by  to solve for

,

the correct length.

Example Question #31 : Perimeter And Sides Of Quadrilaterals

Your mother made a casserole in a pan whose length is 9 inches and whose width is one and a half times the length. What is the perimeter of the casserole pan?

 

Possible Answers:

Not enough information to solve.

Correct answer:

Explanation:

Your mother made a casserole in a pan whose length is 9 inches and whose width is one and a half times the length. What is the perimeter of the casserole pan?

To find the perimeter, you need to add up all the side lengths. First, however, we need to find our width.

We can find our width by using the clue: "...one and a half times the length"

So, do the following:

Next, let's find our perimeter:

So, our answer is 45 in

Example Question #36 : Perimeter And Sides Of Quadrilaterals

Square 1 has area 64; Square 2 has perimeter 24.

Give the ratio of the length of a side of Square 1 to the length of a side of Square 2.

Possible Answers:

Correct answer:

Explanation:

The length of a side of a square is equal to the square root of its area. Square 1 has area 64, so each side has length .

The length of a side of a square is one fourth its perimeter. Square 2 has perimeter 24, so each side has length .

The ratio of the sidelengths is - that is, .

Learning Tools by Varsity Tutors