GED Math : Geometry and Graphs
Study concepts, example questions & explanations for GED Math
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Example Questions
Example Question #3 : Area Of A Quadrilateral
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path (in brown). The dirt path is 
The length of the garden is 
The width of the garden is 
The area of the garden is their product:
Example Question #341 : Geometry And Graphs
Note: Figure NOT drawn to scale
Refer to the above diagram.
Half of Rectangle 
Evaluate 
Rectangle 
The area of Rectangle 
Its width is
Plug in what we know and solve for
Example Question #6 : Area Of A Quadrilateral
Note: Figure NOT drawn to scale
Refer to the above figure, which shows a rectangular garden (in green) surrounded by a dirt path five feet wide throughout. What is the area of that dirt path?
The dirt path can be seen as the region between two rectangles. The outer rectangle has length and width 100 feet and 60 feet, respectively, so its area is
The inner rectangle has length and width 
The area of the path is the difference of the two:
Example Question #7 : Area Of A Quadrilateral
Note: Figure NOT drawn to scale
What percent of Rectangle 
The pink region is Rectangle 
so its area is the product of these, or
The length and width of Rectangle 
so its area is the product of these, or
So we want to know what percent 112 is of 240, which can be answered as follows:
Example Question #341 : 2 Dimensional Geometry
A rectangle has length 10 inches and width 8 inches. Its length is increased by 2 inches, and its width is decreased by 2 inches. By what percent has the area of the rectangle decreased?
The area of a rectangle is its length times its width.
Its original area is 
Example Question #342 : 2 Dimensional Geometry
A rectangle has length 10 inches and width 5 inches. Each dimension is increased by 3 inches. By what percent has the area of the rectangle increased?
The area of a rectangle is its length times its width.
Its original area is 
Example Question #53 : 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 into the equation.
Simplify the equation.
The answer is:
Example Question #54 : Squares, Rectangles, And Parallelograms
If a rectangle has a length of 18cm and a width that is half the length, what is the area of the rectangle?
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 18cm. We also know the width is half the length. Therefore, the width is 9cm. So, we can substitute. We get
Example Question #55 : Squares, Rectangles, And Parallelograms
If a square has a length of 10in, find the area.
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 10in. Because it is a square, all sides are equal. Therefore, the length is also 10in. So, we can substitute. We get
Example Question #56 : Squares, Rectangles, And Parallelograms
Find the area of a rectangle with a width of 8in and a length that is two times the width.
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 8in. We also know the length of the rectangle is two times the width. Therefore, the length is 16in. So, we can substitute. We get
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