GED Math : Area of a Quadrilateral
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Example Questions
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 #376 : Geometry And Graphs
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 #377 : 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 #378 : Geometry And Graphs
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 #379 : Geometry And Graphs
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 #380 : Geometry And Graphs
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 #41 : Area Of A Quadrilateral
Square 1 has area 16; Square 2 has perimeter 16.
Which square has the longest sides?
The information is insufficient.
Neither
Square 1
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".
Example Question #382 : Geometry And Graphs
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 area of the casserole pan?
To find the area, you need to multiply the dimensions. 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, perform the following operation:
Making our answer:
Example Question #383 : Geometry And Graphs
In the figure below, if the minor arc 
Recall the relationship between a central angle and the length of the arc that it intercepts.
Since the radius of the circle is given, we can find its circumference.
For the given circle,
We can plug in all the given information and solve for the central angle then.
Example Question #384 : Geometry And Graphs
If a rectangular television has a diagonal of 
Drawing out the rectangle in question shows that we can use the Pythagorean Theorem to find the width of the rectangle.
Now, recall how to find the area of a rectangle:
Plug in the width and height of the rectangle to find the area.
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