# GED Math : Area of a Quadrilateral

## Example Questions

### Example Question #1330 : Ged Math

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

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 .

Explanation:

Write the formula to find the area of a rectangle.

Substitute the dimensions.

### Example Question #72 : Squares, Rectangles, And Parallelograms

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

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 ?

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:

Find the area.

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

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:

Find the area.

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

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.

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.

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 .

Explanation:

Write the formula for the area of a rectangle.

Substitute the dimensions.

### Example Question #83 : Squares, Rectangles, And Parallelograms

Find the area of a square with a length of .