GED Math : Squares, Rectangles, and Parallelograms
Study concepts, example questions & explanations for GED Math
All GED Math Resources
Example Questions
Example Question #81 : Squares, Rectangles, And Parallelograms
Find the area of a square with a length of 7in.
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 
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 
Write the formula for the area of a square.
Substitute the side length.
The answer is:
Example Question #81 : Squares, Rectangles, And Parallelograms
Find the area of a square with a side of 
Write the formula for the area of a square.
Substitute the side.
The answer is:
Example Question #85 : Squares, Rectangles, And Parallelograms
Find the area of a square if the side length is 
The area of a square is:
Substitute the side into the area formula of the square.
Squaring a radical will leave just the term inside the radical.
The area is:
Example Question #372 : Geometry And Graphs
A rectangle has a diagonal of 
The rectangle given in the question can be drawn out as thus:
Notice that the diagonal is also the hypotenuse of a right triangle that has the length and width of the rectangle as its legs. Thus, use the Pythagorean Theorem to find the length of the width of the rectangle.
Next, recall how to find the area of a rectangle.
Plug in the length and width of the rectangle.
Example Question #87 : Squares, Rectangles, And Parallelograms
Suppose you receive a square sheet of wood which you are planning on making into a box. If the sheet is 
Suppose you receive a square sheet of wood which you are planning on making into a box. If the sheet is 
To find the perimeter of a rectangle, use the following formula:
So, let's plug in our length and width and solve:
Example Question #88 : Squares, Rectangles, And Parallelograms
A rectangular television has a diagonal of 
The figure above represents the television.
Use the Pythagorean Theorem to find the length of the rectangle.
Next, recall how to find the area of a rectangle.
For the given rectangle,
Make sure to round to two places after the decimal.
Example Question #89 : Squares, Rectangles, And Parallelograms
Teresa has a circular lot that has a diameter of 
In order to maximize the size of the swimming pool, the circular lot and the square pool must share the same center as shown by the figure below:
Now, notice that the diameter of the swimming pool is also the diagonal of the square.
We can then use the Pythagorean Theorem to find the length of a side of the square.
Solve for the side length.
Now, recall how to find the area of a square:
Plug in the found length of the side to find the area.
Example Question #82 : Squares, Rectangles, And Parallelograms
Square 1 has area 16; Square 2 has perimeter 16.
Which square has the longest sides?
Square 1
The information is insufficient.
Neither
Square 2
Neither
The length of a side of a square is equal to the square root of its area. Square 1 has area 16, so each side has length 
The length of a side of a square is one fourth its perimeter. Square 2 has perimeter 16, so each side has length 
The squares are of equal size, so the correct response is "neither".
All GED Math Resources
