GED Math : Area of a Quadrilateral

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #1330 : Ged Math

What is the area of a square with a perimeter of ?

Possible Answers:

Correct answer:

Explanation:

The perimeter includes the sum of the four sides of the square.

Divide by 4 on each side.

Each side has a length of three fourths.

Write the formula for the area of a square.

Substitute the side.

The area is:  

Example Question #71 : Squares, Rectangles, And Parallelograms

Find the area of a rectangle with a length of  and a height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the area of a rectangle.

Substitute the dimensions.

The answer is:  

Example Question #72 : Squares, Rectangles, And Parallelograms

What is the area of a square with a side of ?

Possible Answers:

Correct answer:

Explanation:

Write the area formula for a square.

Substitute the side length in the equation.

The area is:  

Example Question #73 : Squares, Rectangles, And Parallelograms

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

Possible Answers:

Correct answer:

Explanation:

Start by finding the length of a side for the square by using the given perimeter.

For the given square,

Now, recall how to find the area of a square:

Plug in the side length of the square to find its area.

Example Question #74 : Squares, Rectangles, And Parallelograms

Use the following rectangle to answer the question:

Rectangle4

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. 

Now, given the rectangle

Rectangle4

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

Example Question #75 : Squares, Rectangles, And Parallelograms

Use the following square to answer the question:

Square3

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

Square3

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

Example Question #76 : Squares, Rectangles, And Parallelograms

Find the area of a rectangle with a length of 15in 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 15in. We know the width is a third of the length. Therefore, the width is 5in. So, we can substitute. We get

Example Question #81 : Squares, Rectangles, And Parallelograms

Find the area of a square with a length of 7in.

Possible Answers:

Correct answer:

Explanation:

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

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

Now, we know the length of the square is 7in. So, we can substitute. We get

Example Question #82 : Squares, Rectangles, And Parallelograms

Find the area of a rectangle with a length of  and a height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the area of a rectangle.

Substitute the dimensions.

The answer is:  

Example Question #83 : Squares, Rectangles, And Parallelograms

Find the area of a square with a length of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the area of a square.

Substitute the side length.

The answer is:  

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