GED Math : Area of a Quadrilateral
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Example Questions
Example Question #1 : Area Of A Quadrilateral
Find the area of the trapezoid:
The area of a trapezoid is calculated using the following equation:
Example Question #2 : Area Of A Quadrilateral
The length of each side of a square is increased by 10%. By what percent has its area increased?
Let 
The area of a square is the square of its sidelength.
The area of the square was originally 
That is, the area has increased by
Example Question #3 : Area Of A Quadrilateral
The above figure depicts the rectangular swimming pool at an apartment. The apartment manager needs to purchase a tarp that will cover this pool completely. However, because of the cutting device the pool store uses, the length and the width of the tarp must each be a multiple of four yards. Also, the tarp must be at least one yard longer and one yard wider than the pool.
What will be the minimum area of the tarp the manager purchases?
Three feet make a yard, so the length and width of the pool are 
The tarp must be 20 yards by 16 yards, so the area of the tarp is the product of these dimensions, or
Example Question #4 : 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
The white region is Rectangle 
So we want to know what percent 102 is of 200, which can be answered as follows:
Example Question #5 : 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 five feet wide throughout. Which of the following polynomials gives the area of the garden in square feet?
The length of the garden is 
The width of the garden is 
The area of the garden is their product:
Example Question #6 : Area Of A Quadrilateral
Note: Figure NOT drawn to scale.
Calculate the area of Rhombus 
The area of a rhombus is half the product of the lengths of diagonals 
Example Question #7 : 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 #8 : Area Of A Quadrilateral
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 #9 : 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 #10 : 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:
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