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SSAT Elementary Level Math : Plane Geometry

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

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #381 : Rectangles

How many sides does a rectangle have?

Possible Answers:

Correct answer:

Explanation:

A rectangle is a shape with 4 sides. The opposite sides have equal lengths.

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Example Question #382 : Rectangles

Screen_shot_2014-10-10_at_9.19.31_pm

What is the perimeter of the above rectangle?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

8 + 3 + 8 + 3 = 22

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Example Question #16 : How To Find The Perimeter Of A Rectangle

Screen_shot_2014-11-13_at_2.50.26_pm

What is the perimeter of the blue rectangle?

Possible Answers:

100

Correct answer:

Explanation:

To find the perimeter of the rectangle, add all four sides together. Even though we are not given the length of all four sides, we know that opposite sides are always equal.

12 + 2 + 12 + 2 = 28

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Example Question #17 : How To Find The Perimeter Of A Rectangle

House

How many feet of fence do you need to surround the rectangular area in front of the house?

Possible Answers:

102

Correct answer:

Explanation:

In order to figure out how many feet of fence you need, add up all of the segments that are going to be fenced. Thus, 12+12+18+18+36= 92 . Remember, you will not need to put fence where the house is.

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Example Question #18 : How To Find The Perimeter Of A Rectangle

A rectangle has sides of lengths and . What is its perimeter?

Possible Answers:

Correct answer:

Explanation:

Since a rectangle has two sets of equal sides, the perimeter is the sum of twice each of the two sides given. $2\cdot14=28$ and $2\cdot27=54$ . 28+54=82 , which is the answer.

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Example Question #19 : How To Find The Perimeter Of A Rectangle

If a rectangle has a perimeter of units, and one of its sides is of length , what are the lengths of its other three sides?

Possible Answers:

, , and

Correct answer:

, , and

Explanation:

Since rectangles have two sets of equal sides, and one side is of length , there must be another side of length . Since we know the total perimeter of the rectangle, we can get the length of the two remaining sides by subtracting the two known side lengths from the total perimeter. 40-12-12=16 , and since the rectangle must have another set of equal sides, we must split into two equal parts. Therefore, the last two sides must be and . This means the rectangle's other three sides must be , , and .

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Example Question #391 : Rectangles

Madison would like to buy a rug to cover the whole floor in her new room. Her room is in the shape of a rectangle and has a perimeter of feet. She measured and one side of her room is feet long. Which of the following rug dimensions would best fit Madison's room?

Possible Answers:

$15 \:\textup{ft by } 33 \:\textup{ft}$

$38 \:\textup{ft by } 38 \:\textup{ft}$

$15\: \textup{ft by } 23\: \textup{ft}$

$15 \:\textup{ft by } 21 \:\textup{ft}$

$15 \:\textup{ft by } 46 \:\textup{ft}$

Correct answer:

$15\: \textup{ft by } 23\: \textup{ft}$

Explanation:

The perimeter is the measurements of all four sides of a square or rectangle. We can use the following formula to solve the problem:

$\textup{Perimeter} = 2 (\textup{length}) + 2 (\textup{width})$

We already know that one side is 15 ft and that the total perimeter is 76 ft, so we can plug those numbers into the formula.

$76 = 2 (15) + 2 (\textup{w})$

$76 = 30 + 2 (\textup{w})$

We can subtract 30 from both sides of the equation.

$76-30 = 30-30 + 2 (\textup{w})$

Now we are left with:

$46 = 2 (\textup{w})$

We can divide both sides by 2 to find the width of the room.

$\frac{46}{2} = \frac{2}{2} \textup{(w)}$

$\textup{w} = 23$

Therefore, the lengths of the other two sides of the room are 23 ft.

To check to see if our answer is correct we can add the four sides of the room:

15 + 15 + 23 + 23 = ?

This equals 76! (The perimeter of the room in the problem.)

Madison should buy a rug that is 15 ft. by 23 ft.

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Example Question #392 : Rectangles

Find the perimeter of a rectangle whose width is 5 and length is 7.

Possible Answers:

Correct answer:

Explanation:

To find perimeter, simply use the formula for the perimeter of a rectangle.

P=2(w+l)=2(5+7)=2*12=24

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Example Question #393 : Rectangles

Find the perimeter of a rectangle whose side lengths are 9 and 6

Possible Answers:

Correct answer:

Explanation:

To find perimeter of a rectangle, simply use the formula below:

P=2(w+l)=2(9+6)=2*15=30

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Example Question #394 : Rectangles

What is the length of a rectangular room with a perimeter of 42ft and a width of 7ft?

Possible Answers:

22ft

12ft

18ft

14ft

28ft

Correct answer:

14ft

Explanation:

P=2l+ 2w

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

42=2l+2(7)

42=2l+14

Subtract from both sides

42-14=2l+14-14

28=2l

Divide by both sides

$\frac{28}{2}=\frac{2l}{2}$

14=l

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SSAT Elementary Level Math : Plane Geometry

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #381 : Rectangles

Example Question #382 : Rectangles

Example Question #16 : How To Find The Perimeter Of A Rectangle

Example Question #17 : How To Find The Perimeter Of A Rectangle

Example Question #18 : How To Find The Perimeter Of A Rectangle

Example Question #19 : How To Find The Perimeter Of A Rectangle

Example Question #391 : Rectangles

Example Question #392 : Rectangles

Example Question #393 : Rectangles

Example Question #394 : Rectangles

All SSAT Elementary Level Math Resources

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