SSAT Elementary Level Math : Plane Geometry

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

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Example Questions

Example Question #21 : How To Find The Area Of A Square

Find the area of the square shown below:

Screen shot 2015 11 03 at 3.19.10 pm

Possible Answers:

Correct answer:

Explanation:

A square has sides that are all equal. Area is length times width, and in the case of a square it is the side measurement times itself.  

Example Question #22 : Geometry

Use the following to answer the question.

Square2

Find the area of the square.

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, we use the following formula:

where l is the width and w is the width of the square.

 

If we look at the square

Square2

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

Example Question #22 : Squares

Use the following square to answer the question:

Square4

Find the area.

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

 

Now, let's look at the square.

Square4

We can see the width of the square is 2in.  Because it is a square, all sides are equal.  Therefore, the length is also 2in.

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

Example Question #23 : Squares

Use the following square to solve the problem:

Square1

Find the area.

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

 

Now, given the square

Square1

we can see the length is 5cm.  Because it is a square, all sides are equal.  Therefore, the width is also 5cm.  So, we can substitute

Example Question #21 : Plane Geometry

What is the perimeter of a square of area 36? 

Possible Answers:

Correct answer:

Explanation:

The area of a square is the square of the length of its side (all sides are equal in a square). If the area is 36, then the length of each side is 6. 

The perimeter of a square is 4 times the length of its side. Therefore, 4 times 6 is 24.

Example Question #2 : How To Find The Perimeter Of A Square

Which of the following is NOT a quadrilateral?

Possible Answers:

trapezoid

rhombus

parallelogram

nonagon

Correct answer:

nonagon

Explanation:

Quadrilaterals have 4 sides. A nonagon has 9 sides. 

Example Question #22 : Plane Geometry

What is the perimeter of a square that has a side measuring 3 inches in length? 

Possible Answers:

Correct answer:

Explanation:

Perimeter is the sum of all the sides. For a square, .

Therefore, for this square, 

Example Question #23 : Plane Geometry

What is the perimeter of a square that has a side measuring 1 inch in length? 

Possible Answers:

Correct answer:

Explanation:

Perimeter is the sum of all the sides. For a square, 

Therefore, for this square, 

Example Question #4 : How To Find The Perimeter Of A Square

Screen_shot_2014-01-11_at_1.40.18_pm

What is the perimeter of the square?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of this square, add all four sides together. Even though we are only given one side's length, every side of a square always has the same length!

Example Question #5 : How To Find The Perimeter Of A Square

Screen_shot_2014-02-20_at_9.16.17_pm

What is the perimeter of the square?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, simply add all four sides together. Even though we are only given one side's length, squares always have four, equal sides!

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