SSAT Elementary Level Math : Quadrilaterals

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #1 : Geometry

What shape has only  sides? 

 

Possible Answers:

Square

Hexagon

Pentagon

Cube

Triangle

Correct answer:

Pentagon

Explanation:

A pentagon has  sides. 

Screen shot 2015 09 09 at 12.15.57 pm

Example Question #11 : Geometry

What shape has only  angles? 

 

Possible Answers:

Cube

Pentagon

Triangle 

Square

Hexagon

Correct answer:

Hexagon

Explanation:

A hexagon has  angles. 

Screen shot 2015 09 09 at 12.18.00 pm

Example Question #52 : Squares

If the perimeter of a given square is , then what is the length of its sides?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a square is  times the length of its side.  If the perimeter is given, you divide it by  to get the side length.  The answer would be .

Example Question #51 : Quadrilaterals

Find the perimeter of a square with side length 9.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the perimeter of a square. Thus,

If this formula is hard to remember, simply add up the lengths of the 4 sides. The above formula is true because all side lengths are equal, so you can multiply the length by 4.

Example Question #53 : Plane Geometry

Find the perimeter of a square with side length 4.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the perimeter of a square. Thus,

You can also solve this by simply adding up all of the sides of a square.

Example Question #51 : Squares

What is the area of a square with a perimeter of 12 cm?

Possible Answers:

Correct answer:

Explanation:

Based on the fact that a Square has four equal sides, we must first divide 12 by 4 to find the measure of each side. 

All of the sides are 3 cm in length. 

Now to find the area of a square we must multiply the base and the height or take one side and square it. In both cases we get the below equation: 

This gives us the answer which is: 

Example Question #51 : Squares

Use the following to answer the question.

Square2

Find the perimeter of the square.

Possible Answers:

Correct answer:

Explanation:

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.

 

If we look at the square

Square2

we can see one length is 7in.  Because it is a square, we know that all of the sides are equal or the same.  Therefore, all sides are 7in.  Knowing this, we can substitute into the formula.  We get

Example Question #31 : How To Find The Perimeter Of A Square

Find the perimeter of the given square.

What is the perimeter of the square if one side of the square is 24cm.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, you must first understand that all sides of a square are equal.  To find the perimeter of a figure you add all sides together. To find the perimeter of this square you could use two ways.

  or

Either way you will end with the same answer 96cm.  The cm are not squared when finding perimeter because you are adding your values together, not multiplying them.

Example Question #31 : How To Find The Perimeter Of A Square

Find the perimeter of the square.

The square has a side of 4.5in. What is the perimeter of the square.

Possible Answers:

Correct answer:

Explanation:

First you must understand that a square has 4 equal sides. So to find the perimeter of that square you can take one side and add that four times or multiply that side by 4.

 or 

Therefore you answer would be 18cm. The cm are not squared as the sides are added together, not multiplied.

Example Question #53 : Squares

Use the following square to answer the question:

Square2

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

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, let's look at the square:

Square2

We can see it has a length of 14cm.  Because it is a square, all sides are equal.  Therefore, all sides are 14cm.

Knowing this, we can substitute into the formula.  We get

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