HSPT Math : Concepts
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #1 : Quadrilaterals
Use this image for the following problem.
What is the perimeter of the square in this picture?
The question only is looking for a part of the picture, just the square. With squares, the rule is that all the sides are equivalent, meaning the same lengths and all angles are right angles.
Perimeter means adding up all the sides together. So we just need to add the lengths of the sides of the square. Uh oh, we only have one side that is listed.
Again, remember that with squares the sides are equivalent, and we know one side is 5 inches. We just need to take 
Our perimeter is 
Example Question #1 : How To Find The Perimeter Of Square
Sandy wants to put a border around her son’s nursery. If all four square walls in the room have the same width and use up 
When Sandy puts the border around her son's room, she will need enough to cover the perimeter. Since the room has four walls equal in length, we know that the room is a square. The perimeter of a square can by found by adding all the sides together, or by multiplying the length of one side by 4. This can be written as:
Since we know that Sandy used 
Now, in order to isolate the variable, we can divide both sides by four.
The left-hand side simplifies to:
The right-hand side simplifies to:
When we solve, we find that the length of each wall is 
Example Question #1 : How To Find The Perimeter Of Square
Find the perimenter:
The perimeter is equal to the sum of the length of all sides. Each side is equal to 
Example Question #212 : Plane Geometry
You are given equilateral triangle 
with 
What is the perimeter of Rectangle 
Also, since opposite sides of a rectangle are congruent,
The perimeter of Rectangle 
Example Question #35 : Quadrilaterals
A hectare is a unit of area equal to 10,000 square meters.
A 150-hectare plot of land is rectangular and is 1.2 kilometers in width. Give the perimeter of this land.
150 hectares is equal to 
The width of this land is 1.2 kilometers, or 
The perimeter of the land is
Example Question #36 : Quadrilaterals
The length of a rectangle is two times as long as the width. The width is equal to 
Example Question #37 : Quadrilaterals
How many meters of fence are needed to enclose a rectangular field that has a length of 1000 meters and a width of 100 meters?
The perimeter of a rectangle is simply the sum of the four sides:
Example Question #31 : Quadrilaterals
The perimeter of a rectangle with a length of 
We know that:
where:
So we can write:
Example Question #1 : How To Find The Perimeter Of A Parallelogram
Find the perimeter of the parallelogram.
13 in
36 in
18 in
26 in
26 in
To find the perimeter of a parallelogram, add the lengths of the sides. Opposite sides of a parallelogram are equivalent.
Example Question #2 : How To Find The Perimeter Of A Parallelogram
Note: Figure NOT drawn to scale.
Find the perimeter of the parallelogram in the diagram.
The perimeter of the parallelogram is the sum of the four side lengths - here, that formula becomes
Note that the height 
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