GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #1291 : Ged Math

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 #1292 : Ged Math

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 #33 : Squares, Rectangles, And Parallelograms

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 : Squares, Rectangles, And Parallelograms

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 #1293 : Ged Math

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 : Squares, Rectangles, And Parallelograms

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, .

Example Question #331 : 2 Dimensional Geometry

A square and a right triangle share a side as shown by the figure below.

2

Find the area of the square.

Possible Answers:

Correct answer:

Explanation:

2

Notice that the side of the square is the same as the hypotenuse of the right triangle.

Use Pythagorean's theorem to find the length of the hypotenuse.

Now that we have the length of a side of the square, find the area.

Example Question #42 : Perimeter And Sides Of Quadrilaterals

2

Find the perimeter of trapezoid  if .

Possible Answers:

Correct answer:

Explanation:

2

Since we know that , we can set up the following ratio to find the lengths of  and  because of the  triangle.

Using that value,

Thus, we can find the perimeter of the trapezoid.

3

Example Question #332 : 2 Dimensional Geometry

What is the perimeter of a square that has an area of ?

Possible Answers:

Correct answer:

Explanation:

First we need to recognize that in order to find perimeter we first need to figure out the length of each side of the square. The formula for area of a square is

 

where  is side

To solve for  we need to take the square root of both sides

Now that we know our side length is 13, we can plug it into our perimeter equation and solve for s

We multiply 4 and 13

Notice our answer is in ft because perimeters are linear

Example Question #1294 : Ged Math

Find the area of the trapezoid:

Question_10

Possible Answers:

Correct answer:

Explanation:

The area of a trapezoid is calculated using the following equation:

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