ISEE Upper Level Math : Quadrilaterals
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Example Questions
Example Question #1 : How To Find An Angle In Other Quadrilaterals
Three of the interior angles of a quadrilateral measure 
This quadrilateral cannot exist.
The measures of the angles of a quadrilateral have sum 
The angle measures 
Example Question #2 : How To Find An Angle In Other Quadrilaterals
The angles of a quadrilateral measure 
The sum of the degree measures of the angles of a quadrilateral is 360, so we can set up and solve for 
Example Question #1 : Quadrilaterals
The four angles of a quadrilateral have the following value: 79 degrees, 100 degrees, 50 degrees, and 
Given that there are 360 degrees when all the angles of a quadrilateral are added toghether, this problem can be solved with the following equation:
Example Question #4 : How To Find An Angle In Other Quadrilaterals
In a quadrilateral, the angles have the following values:
What is the value of 
Given that there are 360 degrees when the angles of a quadrilateral are added together, it follows that:
Example Question #1 : How To Find The Length Of The Side Of Other Quadrilaterals
The perimeter of a quadrilateral is 86. The four sides measure
What is the value of 
Given that the perimeter is 86, the sides of the quadrilateral will all add up to this amount.
The first step is the add together all the integers.
Next, we subtract 70 from each side.
We reduce the left side of the equation:
Now, we divide each side by 4. This leaves:
Example Question #1 : Squares
Side 
Cannot be determined
The perimeter of a quadrilateral is the sum of the length of all four sides. In a square, each side is of equal length. Thus, the perimeter is the length of a side (given) times 4.
Example Question #231 : Plane Geometry
If the area of a square is 
If the area of a square is 
The perimeter is equal to 4 times the length of one side.
This gives us:
Example Question #232 : Plane Geometry
One of your holiday gifts is wrapped in a cube-shaped box.
If one of the edges has a length of 6 inches, what is the perimeter of one side of the box?
One of your holiday gifts is wrapped in a cube-shaped box.
If one of the edges has a length of 6 inches, what is the perimeter of one side of the box?
To find perimeter of a square, simply multiply the side length by 4
Example Question #4 : How To Find The Perimeter Of A Square
In the above diagram, the circle is inscribed inside the square. The circle has circumference 30. What is the perimeter of the square?
Call the diameter of the circle 
The diameter of the circle is equal to its circumference divided by 
The perimeter of the square is four times this sidelength, so
Example Question #5 : How To Find The Perimeter Of A Square
Find the perimeter of a square with a width of 4cm.
To find the perimeter of a square, we will use the following formula:
where a, b, c, and d are the lengths of the sides of the square.
Now, we know the width of the square has a length of 4cm. Because it is a square, all sides are equal. Therefore, all sides are 4cm.
Knowing this, we can substitute into the formula. We get
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