GED Math : Squares, Rectangles, and Parallelograms
Study concepts, example questions & explanations for GED Math
All GED Math Resources
Example Questions
Example Question #331 : Geometry And Graphs
A square and a right triangle share a side as shown by the figure below.
Find the area of the square.
Notice that the side of the square is the same as the hypotenuse of the right triangle.
Use Pythagorean's theorem to find the length of the hypotenuse.
Now that we have the length of a side of the square, find the area.
Example Question #332 : Geometry And Graphs
Find the perimeter of trapezoid 
Since we know that 
Using that value,
Thus, we can find the perimeter of the trapezoid.
Example Question #333 : Geometry And Graphs
What is the perimeter of a square that has an area of 
First we need to recognize that in order to find perimeter we first need to figure out the length of each side of the square. The formula for area of a square is
where 
To solve for 
Now that we know our side length is 13, we can plug it into our perimeter equation and solve for s
We multiply 4 and 13
Notice our answer is in ft because perimeters are linear
Example Question #331 : Geometry And Graphs
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:
All GED Math Resources
