GED Math : 2-Dimensional Geometry

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #57 : Squares, Rectangles, And Parallelograms

Find the area of a square with a length of 11cm.

Possible Answers:

Correct answer:

Explanation:

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

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

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

Example Question #12 : Area Of A Quadrilateral

Find the area of a rectangle with a width of 7in and a length that is three times the width.

Possible Answers:

Correct answer:

Explanation:

To find the area 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 also know the length is three times the width. Therefore, the length is 21in. So, we can substitute. We get

Example Question #13 : Area Of A Quadrilateral

A square has an area of .  Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

A square has 4 equal sides. The formula to find the area of a square is

where b is the length of one side of the square. To find the length of one side of the square, we will solve for b.

Now, we know the area of the square is . So, we will substitute and solve for b. So,

 

 

 

Therefore, the length of one side of the square is 14cm.

Example Question #15 : Area Of A Quadrilateral

What of the following is NOT a property of a quadrilateral?

Possible Answers:

Correct answer:

Explanation:

A quadrilateral is a shape with four corners, or vertices, whose interior angles angles must sum up to 360 degrees.  

The shape also has 4 edges.

The quadrilateral does not necessarily require two pairs of parallel lines.

Quadrilaterals may also be irregular.

The answer is:  

Example Question #351 : Geometry And Graphs

Find the area of a square with a width of 7cm.

Possible Answers:

Correct answer:

Explanation:

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

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

Now, we know the width of the square is 7cm. Because it is a square, all sides are equal. Therefore, the length is also 7cm. So, we can substitute. We get

Example Question #21 : Area Of A Quadrilateral

Find the area 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 area 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 of the triangle is a third of the length. Therefore, the width is 2in. So, we substitute. We get

Example Question #1322 : Ged Math

A square has an area of . Find the length of one side.

Possible Answers:

Correct answer:

Explanation:

A square has 4 equal sides. The formula to find the area of a square is

where b is the length of one side of the square. To find the length of one side of the square, we will solve for b.

Now, we know the area of the square is . So, we will substitute and solve for b. So,

 

 

 

Therefore, the length of one side of the square is 12cm.

Example Question #22 : Area Of A Quadrilateral

Use the following rectangle to answer the question:

Rectangle1

Find the area.

Possible Answers:

Correct answer:

Explanation:

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

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

So, given the rectangle

Rectangle1

we can see the length is 6in and the width is 3in. So, we can substitute. We get

Example Question #23 : Area Of A Quadrilateral

Use the following square to answer the question:

Square2

Find the area.

Possible Answers:

Correct answer:

Explanation:

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

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

Now, given the square

Square2

we can see the length is 14cm. Because it is a square, all sides are equal. Therefore, the width is also 14cm. So, we can substitute. We get

Example Question #24 : Area Of A Quadrilateral

Find the area of a square with a perimeter of .

Possible Answers:

Correct answer:

Explanation:

A square has four equal sides.

This means that each side is one fourth of the perimeter.

Write the area of a square.

The answer is:  

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